Question

Find the value of x in the isosceles triangle shown below.​

Answer 1

Answer: A, x = square root of 60.

Explanation:

Use the Pythagorean Theorem, a^2 + b^2 = c^2.

8^2 = 2^2 + x^2

x^2 = 8^2 - 2^2

x^2 = 64 - 4

x^2 = 60

x = sqrt of 60

Answer 2

Option A :
`x=√(60)`

Explanation:

We will use the Pythagoras theorem here.

We have the hypotenuse as 8 units

We have the base as x and perpendicular side as 2 units.

Applying Pythagoras theorem,

`x^(2) +2^(2) =8^(2)`

=>
`x^(2) +4=64`

=>
`x^(2) =64-4`

=>
`x^(2) =60`

=>
`x=√(60)`

Hence, option A is the answer.