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

Answer:

42.42 yards

Step-by-step 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.