Question

If the hypotenuse of a right triangle is 145 units long and the short leg is adjacent to the right angle is 17 units long, then determine the length of the long leg of the triangle.

Answer 1

The length of the long leg of the triangle is 144 units

Pythagoras theorem

Pythagoras theorem is used to solve the sides of a right angle triangle and can be represented as follows;

• c² = a² + b²

where

c = hypotenuse

a and b are the other legs.

Therefore,

145² - 17² = b²

b²  = 21025 - 289

b² = 20736

b = √20736

b = 144

Therefore, the length of the longer leg of the triangle is 144 units

learn more on Pythagoras theorem here: brainly.com/question/8511675