Question

Find the value of x
in the isosceles triangle shown

​

Answer 1

Given that the isosceles triangle has sides √45, √45 and x.

The triangle has a height of 3 units.

We need to determine the value of x.

Value of x:

The value of x can be determined using the formula,

`b=2√(a^2-h^2)`

Where b is the base of the triangle, a is the sides of the isosceles triangle and h is the height of the triangle.

Substituting
`a=√(45)` ,
`b=x` and
`h=3` in the above formula, we get;

`x=2√((\sqrt45)^2-(3)^2)`

Squaring the terms, we have;

`x=2√(45-9)`

Subtracting, we get;

`x=2√(36)`

`x=2(6)`

`x=12`

Thus, the value of x is 12

Hence, Option B is the correct answer.