Question

A right triangle has a hypotenuse of length 39 and a leg of length 15. What is the length of the other leg? If necessary, round your answer to two decimal places.

Answer 1

You will use the pythagorean theorem to solve this.
\[a ^{2}+b ^{2}=c ^{2}\]
Plug your values in:
\[a ^{2} + 15^{2} = 39^{2}\]
Begin to solve:
\[a ^{2} + 225 = 1521\]
Isolate a^2:
\[a ^{2} = 1296\]
Find the square root of both sides:
a = 36

Answer 2

thank you so much your great :)

Answer 3

The length of the other leg is 36.

The formula is a2 + b2 = c2 where the legs are a and b and the hypotenuse c.

For the example, (15)2 + b2 = (39)2

225 + b2 = 1521

b2 = 1521 - 225 = 1296

and b = 36