Question

The length of the hypotenuse of a right triangle is 88 and the length of one of its legs is 38. What is the length of
the other leg of this right triangle? Round your answer to the nearest tenth, if necessary.

Answer 1

Answer:

79.4

Step-by-step explanation:

Hello!

To find the length of a missing side of a right triangle we use the equation.

$a^{2} +b^{2} =c^{2}$

a is one leg

b is the other leg

c is the hypotenuse

Put in what we know

$a^{2} +38^{2} =88^{2}$

Simplify

$a^{2} +1444 = 7744$

subtract both sides by 1444

$a^{2} = 6300$

Take the square root of both sides

a = 79.372

Round to the nearest tenth

a = 79.4

Hope this helps!