Question

I’m confused on this one

Answer 1

a - the leg lengths

h - the hypotenuse length

We use the Pythagorean theorem:

$h^2=a^2+a^2\\\\h^2=2a^2\to h=\sqrt{2a^2}\\\\h=\sqrt2\cdot\sqrt{a^2}\\\\h=a\sqrt2$

Substitute the value of h = 10:

$a\sqrt2=10\ \ \ |\cdot\sqrt2\\\\2a=10\sqrt2\ \ \ |:2\\\\a=5\sqrt2$

Answer: 5sqrt(2)