Question

so a right triangle has a leg of length 15 and a hypotenuse of length 45 yards. Find the length of the other leg (nearest tenth)​

Answer 1

42.42 yards

Explanation:

Given :-

• A right triangle has a leg of length 15 yards and a hypotenuse of length 45 yards .

And we need to find the length of other leg. So since it is a right angled triangle we can use the Pythagoras Theorem which is ,

Pythagoras Theorem :-

• In right angle triangle sum of squares of two smallest sides that is base and perpendicular is equal to the square of the largest side that is hypotenuse .

Using Pythagoras Theorem :-

`:\implies` p² + b² = h²

`:\implies` 15² + p² = 45²

`:\implies` 225 + p² = 2025

`:\implies` p²= 1800

`:\implies` p = 42.42

Hence the measure of other leg is 42.42 yards.