Question

Can u help me please better picture

Answer 1

Hi, there.

For this question, we can apply the Pythagorean theorem $a^2 + b^2 = c^2$.

I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.

Lengths a and b both have the value of 48, which means that the value s in $\sqrt{2s^2}$ is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.

Plug in the value for c: $a^2 + b^2 = (\sqrt{2s^2})^2$

Plug in the value for s:

$(\sqrt{2(48^2)})^2$

Do the innermost exponents first:

$(\sqrt{2(2304)})^2$

The square root symbol and the power of 2 cancel each other out, so we are left with:

s = $2(2304)$, so the hypotenuse is 4608 inches.