Question

I’m confused on this one

Answer 1

`6\sqrt2`

Why?

We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:

`h^2=6^2+6^2\\\\h^2=36+36\\\\h^2=36\cdot2\to h=√(36\cdot2)\\\\h=√(36)\cdot\sqrt2\\\\h=6\sqrt2`

In general, the formula for calculating the hypotenuse in an isosceles right triangle is
`h=a\sqrt2`

a - a leg, h - a hypotenuse