Help with Trigonometry: Combine Two Triangles

In that case, the height of the small triangle would be 1.25 × (5/4.5) = 1.39.In summary, the main triangle is divided into two similar triangles, with the smaller one having a base of 4.5 and a height of 1.25. However, the drawing appears to have the height and base reversed, which would make the triangles not similar. If the base of the small triangle were actually 5, then the triangles would be similar and the height of the small triangle would be 1.39.
  • #1
hgphtgi
12
0
Hello Gys

I have new question for you today... if u ready, let's begin



http://www.mediafire.com/view/?2pp4u074ppijfbt

we have two triangles, the main one is the blue the secondary is the red.

if we divide the main triangle into two triangles we will get

The red triangle a=1.25, b=4.5 and c=4.67

The new triangle will be a=100-1.25=98.75, 25-4.5=20.5 so c=sqrt((98.75)^2+(20.5)^2) ===> c=100.85

===========================
Now we have two triangles
1- a=1.25, b=4.5 and c=4.67
2- a=98.75, b=20.5 and c=100.85

The question is there is some thing missing because when we want to combine the two triangles again suppose we get same length's of the the main triangles ( blue triangles ).

Any one could get the point ??

Tnx all
 

Attachments

  • untitled.JPG
    untitled.JPG
    10.9 KB · Views: 421
Last edited by a moderator:
Physics news on Phys.org
  • #2
hgphtgi said:
Hello Gys

I have new question for you today... if u ready, let's begin



http://www.mediafire.com/view/?2pp4u074ppijfbt

we have two triangles, the main one is the blue the secondary is the red.

if we divide the main triangle into two triangles we will get

The red triangle a=1.25, b=4.5 and c=4.67

The new triangle will be a=100-1.25=98.75, 25-4.5=20.5 so c=sqrt((98.75)^2+(20.5)^2) ===> c=100.85

===========================
Now we have two triangles
1- a=1.25, b=4.5 and c=4.67
2- a=98.75, b=20.5 and c=100.85

The question is there is some thing missing because when we want to combine the two triangles again suppose we get same length's of the the main triangles ( blue triangles ).

Any one could get the point ??

Tnx all

Things are really fouled up in the drawing. From appearances, the small triangle and large triangle are similar, but it looks like the height and base of the small triangle have been switched. Assuming the base of the small triangle is really 4.5 and the height is really 1.25, the triangles are not similar, since their height-base ratios are different (1.25/4.5 ≠ 25/100).

If the base of the small triangle happened to be 5, then the two triangles would be similar.
 
Last edited by a moderator:

FAQ: Help with Trigonometry: Combine Two Triangles

What is trigonometry?

Trigonometry is a branch of mathematics that focuses on the relationships between the sides and angles of triangles. It is used to solve problems involving right triangles and can also be applied to other shapes and curves.

What is the Pythagorean Theorem?

The Pythagorean Theorem is a fundamental concept in trigonometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the other two sides.

How do I combine two triangles in trigonometry?

To combine two triangles, you can use the laws of trigonometry, specifically the sine, cosine, and tangent ratios. These ratios relate the angles and sides of a triangle, and can be used to solve for missing sides or angles in a combined triangle.

What is a common mistake when combining two triangles in trigonometry?

A common mistake is forgetting to convert angles from degrees to radians when using trigonometric functions like sine, cosine, and tangent. These functions use radians as their unit of measurement, so it is important to convert degrees to radians before using them.

What are some real-world applications of combining two triangles in trigonometry?

Trigonometry is used in many fields including architecture, engineering, navigation, and physics. Some specific applications of combining two triangles include finding the height of a building, calculating the distance between two points using angles, and determining the angle of elevation for a satellite dish.

Similar threads

Back
Top