Question

Find the value of x in the diagram given.

Answer 1

The value of x is "17". A further explanation is given below.

Step-by-step explanation:

The given values are:

Base,

B = 8

Perpendicular,

P = 15

Hypotenuse,

H = x

On applying Pythagoras theorem, we get

⇒
`(Hypotenuse)^=(Perpendicular)^2+(Base)^2`

⇒
`H^2=P^2+B^2`

On substituting the values, we get

⇒
`x^2=15^2+8^2`

⇒
`x^2=225+64`

⇒
`x^2=289`

⇒
`x=√(289)`

⇒
`x=17`