Question

How do I solve for X?

Answer 1

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

Answer 2

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 = √(32)`

`x = √(16 ) * √(2)`

`x = 4 √(2)`