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

Answer: A, x = square root of 60.
Step-by-step 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:
Option A : [tex]x=\sqrt{60}[/tex]
Step-by-step 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,
[tex]x^{2} +2^{2} =8^{2}[/tex]
=> [tex]x^{2} +4=64[/tex]
=> [tex]x^{2} =64-4[/tex]
=> [tex]x^{2} =60[/tex]
=> [tex]x=\sqrt{60}[/tex]
Hence, option A is the answer.