Point 1 — Special triangles

What do we see?

$\sqrt{2}$ , $\sqrt{3}$ , 60 degrees, 45 degrees, isosceles right triangle.

What do we understand?

30-60-90 triangles: x, x $\sqrt{3}$ , 2x OR $\frac{x}{\sqrt{3}}$ , x, $\frac{2 x}{\sqrt{3}}$ OR $\frac{x}{2}$ , $\frac{x \sqrt{3}}{2}$ , x

45-45-90 triangles: x, x, x $\sqrt{2}$ OR $\frac{x}{\sqrt{2}}$ , $\frac{x}{\sqrt{2}}$ , x

The side opposite 60 degrees always has a $\sqrt{3}$ in it.

Question 1 of 8

An isosceles right triangle has a hypotenuse that measures 60 $\sqrt{2}$ . If a similar triangle has the longest side length of 8 $\sqrt{8}$ , what is the sum of its shorter two sides?