Example Question Types

1. Special Right Triangles

A right triangle has side lengths in the ratio $1:1:\sqrt{2}.$ If one leg of the triangle has length 8, what is the length of the hypotenuse?

2. Similar Triangles

Two triangles are similar. The sides of the smaller triangle are 6, 8, and 10. If the corresponding shortest side of the larger triangle is 15, what is the perimeter of the larger triangle?

3. Trigonometric Ratios

In a right triangle, an angle measures $35^o$ and the hypotenuse has length 12. Which trigonometric ratio could be used to determine the length of the side opposite the angle?

4. SAT Geometry Application

A ladder leaning against a wall forms a right triangle with the ground. The ladder is 13 feet long and the bottom of the ladder is 5 feet from the wall. How high up the wall does the ladder reach?