Question

20. Find the length of the missing side. The triangle not drawn to scale.

Answer 1

Missing side is x
x^2 = 17^2 -15^2
x^2 = 289 -225
x^2 = 64
x = 8

Answer 2

The length of missing side is 8.

Explanation:

Given: A right angled triangle with base 15 and hypotenuse 17

We have to find the measure of perpendicular.

PYTHAGORAS THEOREM states that for right angled triangle the sum of square of base and perpendicular is equal to the square of hypotenuse.

written as

`(hypotenuse)^2=(base)^2+(perpendicular)^2`

For the given triangle,

Base = 15

Hypotenuse = 17

Substitute, we get,

`(17)^2=(15)^2+(perpendicular)^2`

Solve for perpendicular, we have,

`289=225+(perpendicular)^2`

`(perpendicular)^2=64`

Taking square root both side, we get,

`perpendicular=√(64)=8`

Thus, the length of missing side is 8