Calculate side DC in this triangle

In summary, the conversation discusses calculating the length of DC using sine and cosine formulas, and suggests using the length of BC, BD, and angle C as a check for the correct calculation.
  • #1
VitaminK
46
4
Homework Statement
AD=48cm
BD=17cm
Calculate DC
Relevant Equations
Sine formula and cosine formula
1587315528457.png

Was just wondering if someone could take a look at my calculations and see if I've done them correctly.
1587319123492.png
 
Physics news on Phys.org
  • #2
VitaminK said:
Homework Statement:: AD=48cm
BD=17cm
Calculate DC
Relevant Equations:: Sine formula and cosine formula

View attachment 260979
Was just wondering if someone could take a look at my calculations and see if I've done them correctly.
View attachment 260981
That looks fine.

Of course, you could have found length DC using BC, BD, and angle C (the 42° angle). Maybe, use this as a check.
 
  • #3
SammyS said:
That looks fine.

Of course, you could have found length DC using BC, BD, and angle C (the 42° angle). Maybe, use this as a check.
thanks!
 

FAQ: Calculate side DC in this triangle

What is the formula for calculating side DC in a triangle?

The formula for calculating side DC in a triangle is the Pythagorean theorem, which states that the square of the length of the hypotenuse (side DC) is equal to the sum of the squares of the other two sides (AB and AC). So, DC² = AB² + AC².

How do I find the lengths of the other sides if I know the length of side DC?

If you know the length of side DC, you can use the Pythagorean theorem to find the lengths of the other two sides. Simply rearrange the formula to solve for either AB or AC, depending on which side you want to find. For example, if you want to find the length of AB, the formula would be AB = √(DC² - AC²).

Can I use the Pythagorean theorem to find the length of side DC if I know the lengths of the other two sides?

Yes, you can use the Pythagorean theorem to find the length of side DC if you know the lengths of the other two sides. Simply rearrange the formula to solve for DC, which would be DC = √(AB² + AC²). This is useful when you need to find the length of the hypotenuse in a right triangle.

Is there another way to calculate side DC in a triangle?

Yes, there are other ways to calculate side DC in a triangle, depending on the information you have. For example, if you know the angles of the triangle, you can use trigonometric functions such as sine, cosine, or tangent to find the length of side DC. You can also use the law of cosines if you know the lengths of two sides and the included angle.

What should I do if I don't know the lengths of any of the sides in the triangle?

If you don't know the lengths of any of the sides in the triangle, you will need to have at least one other piece of information, such as the angles or the area of the triangle, in order to calculate the length of side DC. If you have no other information, you will not be able to find the length of side DC.

Back
Top