Question

Find x math help pls help

Answer 1

x = 4√2

Explanation:

This is a normal square with side length x. You can break this down into 2 right triangles connected by the diagonal. Given that both side lengths are equal, we can infer that this is a 45-45-90 triangle. The pattern for side lengths for this type of triangle is s - s - s√2. This means that 8, corresponds to the hypotenuse s√2.

s corresponds to the side length, in this case, x. So if we find the value of s, it will give us the value of x.

`s√(2) = 8\\ s = (8)/(√(2) )\\ s = (8)/(√(2) ) * (√(2) )/(√(2)) \\s = (8√(2) )/(2)\\ \\s = 4√(2)`

So now we know that x = 4√2.