Question

Plz Helppp meeee assapppp

Answer 1

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse =
`√(5)`

In a right angle triangle,

`\cos \theta = (Base)/(Hypotenuse)`

For the given triangle,

`\cos 45^\circ= (x)/(√(5))`

`(1)/(√(2))= (x)/(√(5))`

Multiply both sides by
`√(5)`.

`(√(5))/(√(2))= x`

`(√(5))/(√(2))* (√(2))/(√(2))= x`

`(√(10))/(2)= x`

Therefore, the required value of x is
`(√(10))/(2)`.