Question

How do I solve for X?

Answer 1

We use the theory of Pythagoras because the triangle is right.

$AB {}^{2} = AC {}^{2} + BC {}^{2}$
since AB = AC = x
$8 {}^{2} = x {}^{2} + x {}^{2}$
$64 = 2x {}^{2}$
$32 = x {}^{2}$
$x = \sqrt{32}$
$x = \sqrt{16 } \times \sqrt{2}$
$x = 4 \sqrt{2}$

Answer 2

it is an isosceles right triangle, the hypotenuse is the diagonal of a square, the area of ​​the square is also diagonal by diagonal divided by two, so use the inverse formula

√(8*8:2) =

5.65