Find the length of the third side of the triangle

Question

Use the given information to find the length of the third side of the triangle. the triangle is a right triangle.

b = 39 and c = 65

Answer 1

We can find the length of the third side of a triangle only if it is the right triangle.

Otherwise, the given data is insufficient.

Given is the right triangle.

c - hypotenuse

b - leg

a - leg

c = 65 ← given

b = 39 ← given

Calculate the length of leg "a":

a = √(c² - b²) → Pythagorean theorem

a = √(65² - 39²) = 52