Right triangle Definition and 89 Threads

I've been reading that the center of mass of a right triangle - the coordinates of the COM, is (1/3b,1/3h)- I can't for the life of me figure out why this is. Is there some sort of clear proof I can take a look at? I don't really know what to integrate..

This is a fairly standard maximization problem in calculus, but I was wondering if anybody could help me come up with a nice geometric solution. It seems like it should be possible to make an argument based on symmetry, but I haven't quite been able to work it out yet. Note, I have already...

Homework Statement The area is bounded by the equation y=x^2, x-axis and the line x=3 and is perpendicular to the x axis Homework Equations A=1/2bh Height=Base The Attempt at a Solution A=1/2B^2 V=1/2B^2 from 0 to 3 V=1/2 B^3/3 from 0 to 3 V=B^3/6 from 0 to 3 V=27/6 please...

Homework Statement I am having trouble with right triangles. I understand how to use the formulas, however I don't know which angle is appropriate when using the formulas. For example, in this picture: http://imgur.com/C2lxg . There was a problem in my book that had a triangle like this. The...

1. Homework Statement Sin(sec^-1(sqrt(x^2+16)/4)) 2. Homework Equations 3. The Attempt at a Solution I did the math and ended up getting x^2-1 as the opposite, but the answers on the back of the book say other wise.

Homework Statement Cos(Tan^-1(x)) Homework Equations The Attempt at a Solution Dont know how drawing a right triangle would do anything, don't know what to plug in.

Homework Statement Anyone mind checking my answer for me? The area of a right triangle with hypotenuse H is A=1/4H^2sin(2x) x is one of the acute angles. Use differentials to estimate the relative errors of the area if H = 4cm exactly and x is measured to be 30degrees with an error of...

Homework Statement I'm trying to figure out the radius of a circle that intersects two points on a right triangle. One side of the triangle is tangent to the circle and the other intersects it. I have attached an image that helps further explain what I'm talking about. Knowing what I have...

I'm trying to figure out the radius of a circle that intersects two points on a right triangle. One side of the triangle is tangent to the circle and the other intersects it. I have attached an image that helps further explain what I'm talking about. Knowing what I have listed in the image is...

Trig right triangle solving question How do you know if you should pick tan, cot, etc for the last part? if b = 2 , A =40 , find a,c, and B I found all of them except for c , how do you get c There's a part almost at the end that goes like tan40 degrees = a/2 and Cos 40 degrees = 2/c Why do you...

Homework Statement Find the area of the largest rectangle that can be inscribed in a right triangle with legs adjacent to the right angle of lengths 5cm and 12cm. the two sides of the rectangle lie along the legs. Homework Equations N/a The Attempt at a Solution

Homework Statement A right triangle ABCD is formed from four jointed links. The joint D at the midpoint of the hypotenuse is pushed until it lies on the leg AB. Homework Equations Find the height x when a = 50 mm The Attempt at a Solution give me a hint please cause I'm lost :mad:

Homework Statement Problem: Find the force on one face of a right triangle of sides 4 meters and altitude of 3 meters. The altitude is submerged vertically with the 4 meter side in the surface. The selections by the way are a. 58.86 kNewton b. 53.22 kNewton c. 62.64 kNewton d...

Homework Statement How can I find the center of mass of a right triangle, of height h, length a, and mass m, without using calculus? Homework Equations The Attempt at a Solution I just need a hint on how to start please

Homework Statement A small map shows Atlanta to be 730 miles in a direction of 5 degrees north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21 degrees west of north from Atlanta. Assume a flat Eath and use this information to find the displacement from...

A system consists of three particles located at the corners of a right triangle as shown below. Mass 1 is 7.0 kg, mass 2 is 6.4 kg, and mass 3 is 9.9 kg. If the distances a equals 15.8 m and b equals 2.0 m, then what is the center of mass (in m) in the vertical direction? Y center of...

Homework Statement Find the center of mass for the following triange: http://www.ehow.com/how_5132033_calculate-hypotenuse.html above is a picture of a triangle, it is a right triangle the side labeled a in the picture is a length of 1 and side b is length of 2, the total weight of...

Homework Statement A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. The sign has mass m. What is the moment of inertia of the sign for rotation about the side of length h? Homework Equations I = \intr^{2}dm The Attempt...

Imagine a boat on the water being putted towards the shore by a winch mounted a height h above the water. The winch reels in cable (shortening the hypotenuse) at constant rate u in m/s . When the boat is a distance d from the shore, find its speed and acceleration. This is an example of motion...

Right triangle problem,please check! Homework Statement In the figure,TN=NK, ST=12 and SN=\sqrt{69}.Find the length of TK. [PLAIN]http://img695.imageshack.us/img695/633/50042657.png Homework Equations Pythagorean Theorem The Attempt at a Solution Segment SN is the median of the...

1. Homework Statement This is part of a find the electric field problem. I've narrowed down the part I find confusing. Consider a right triangle, with legs of length x and R. Angle θ is opposite x. Leg x is a segment of a ray starting where lines x and R intersect. There is a differential...

Homework Statement given only the time in the air and the range horizontally of one projectile. How can i find the angle and velocity of the projectile? Homework Equations trig functions? The Attempt at a Solution not sure how...hints?

Hi guys not sure were this goes sorry... It's been a while sense I have taken geometry so my skills are a little rusty... It tunrs out that I need to prove that the angles in a right tranlge add up to 180 I have looked on the internet and people just tell me oh this angle and that angle...

I'm comparing TV and monitor sizes, and I'm trying to figure out the formula that will let me find what size screen will have the same area as another screen (with different aspect ratios). This boils down to a right triangle with all the angles and the area known. Normally I'd find this on...

If angles A, B, and C are the angles of a triangle such that sin(A+B)=1/sin(C) and cos(A+B)=cos(C), then show that the triangle is a right triangle.

Homework Statement A right triangle has height 'h' and width 'b.' The right triangle has a constant area density. Calculate the moment of inertia of the triangle rotated around an axis that runs along side 'h.'Homework Equations I = integral(r^2*dm) where 'r' is distance from the axis The...

A large right triangle has a hypotonuse of 2000x+1125. The other sides are 2000x-1125 and x. solve for x. I have tried this with pythagoreon theorem and solving a quadratic and what not but can't get it to work out. maybe i am just making a simple mistake but i can't get it to work out.

Homework Statement Charges q1, q2, q3 are placed in a right triangle. Charges are given, distance between charges is given. Find the electrical field strength at point "A" which is in the middle of the hypotenuse. Which equations and how would I figure that out knowing that I have to give...

Homework Statement For the vectors in the figure below, with a = 8, b = 7, c = sqrt(113), give the magnitude and direction of the following cross products. (See attachment for figure/right triangle). (a) a x b (b) a x c (c) b x c Homework Equations \vec{A} \cdot...

"To Estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32 degrees. One thousand feet closer to the mountain along the plain, it is found that the angle of eleveation is 35 degrees. Estimate the height of the mountain."...

1. A woman standing on a hill sees a flagpole that she knows is 60 ft tall. The angle of depression to the bottom of the pole is 14 degrees, and the angle of elevation to the top of the pole is 18 degrees. Find her distance x from the pole. 2. I draw a diagram of the problem with a person on...

Homework Statement ---- l../ l./ l/ ^This is a right triangle (not drawn to scale). The left side is 18,944, then top side is 30,556, and the hypotenuse is 35,952. The right angel is between the left side and the top side. Now, how do I find the measurement of the angle between the hypotenuse...

Question1:In a right triangle,the sum of the lengths of the hypotenuse and a leg is 1.Find the largest possible area of such triangle. Question2:Prove that arctanx=pi/2-1/x+o(1/x)(x tends to +inf) Question3:evaluate lim(2arctanx/pi)^2 (x tends to +inf)

in my homework the question wants from me to find the moment of inertia of right triangle with the y-axis as shown in the attatchment note: the mass of the plate is 1 kg i found the y coordinate of the center of mass of the plate it is 5/3 and i supposed it is the r so the inertia...

Homework Statement Starting from city A, a car drives 250 miles east to city B, then 300 miles north to city C, and then 700 miles west to city D. What is the distance between city A and city D? (Points: 1) 300 mi 400 mi 500 mi 600 mi Homework Equations A^2...

In a right triangle with sides x,y,z, the theta between leg z and leg y is increasing at a constant rate of 3 rad/min. What is the rate at which x is increasing in units per minute when x equals 3 units and z is 5 units. so the triangle is basically a 3,4,5 triangle. The theta is between the...

How can I prove that a right triangle whose sides are n^2+1 , n^2-1, and 2n is indeed a right triangle? The hint is to use the pythagorean theorem which is a^2 + b^2 = C^2 . I don't know what to do? i tried squaring the 3 terms but I can't get the first 2 to equal the last term (term c which...

Hey guys. this is my first time posting. can anyone tell me how to calculate the Y component of center of mass of a right triangle?? Major help would be appreciated :-D please email me at fakedoublebassdrummer@yahoo.com

Hey guys. this is my first time posting. can anyone tell me how to calculate the Y component of center of mass of a right triangle?? Major help would be appreciated :-D please email me at [email address deleted]