Question

Can someone help me solve this problem?

Answer 1

Answer:

a = 8

b = 4$\sqrt{2}$

Step-by-step explanation:

I've attached a picture of the 45-45-90 triangle's formula, which is the length of the hypotenuse = $\sqrt{2}$ times the length of a leg (one of the sides of the triangle).

So, applying this to your problem, if 4$\sqrt{2}$ if one of the legs of the triangle, the other leg, which is b , would be the same length.

b = 4$\sqrt{2}$

To solve for a, you would have to multiply the leg by $\sqrt{2}$.

a = 4$\sqrt{2}$ x $\sqrt{2}$

I would separate the 4 and the $\sqrt{2}$.

a = 4 x $\sqrt{2}$ x $\sqrt{2}$

a = 4 x $\sqrt{2 *2}$

a = 4 x $\sqrt{4}$

a = 4 x 2

a= 8