Question

I need help with this question

Answer 1

x = (3√2)/2

Explanation:

In the isosceles right triangle the side lengths have the ratio ...

1 : 1 : √2

This means the short leg (x) is 1/√2 times the length of the hypotenuse. You want the ratio with a rational denominator, so you need to multiply numerator and denominator by √2.

`x=3\cdot(1)/(√(2))=3\cdot(√(2))/((√(2))^2)\\\\\boxed{x=(3)/(2)√(2)}`