# SAT II Math I : Right Triangles and Similar Triangles

## Example Questions

### Example Question #29 : Trigonometry

Find the area of the triangle.

Explanation:

Dropping the altitude creates two special right triangles as shown in the diagram.  Use the area formula of a triangle to get

### Example Question #30 : Trigonometry

Fire tower A is  miles due west of fire tower B.  Fire tower A sees a fire in the direction  degrees west of north.  Fire tower B sees the same fire in the direction  degrees east of north.  Which tower is closer to the fire and by how much?

The two fire towers are equidistant to the fire.

Fire tower A; 1.53 miles

Fire tower A; 0.24 miles

Fire tower B; 1.29 miles

Fire tower B; 0.24 miles

Fire tower B; 0.24 miles

Explanation:

First, realize that the angles given are from due north, which means you need to find the complements to find the interior angles of the triangle.  This triangle happens to be a right triangle, so the fast way to compute the distances is using trigonometry.

Fire tower B is  miles closer to the fire.

### Example Question #31 : Trigonometry

Find the length of side .

Explanation:

In an angle-side-angle problem, Law of Sines will solve the triangle.

First find angle A:

Then use Law of Sines.

### Example Question #1 : Right Triangles And Similar Triangles

What is the length of the leg of a right triangle whose hypotenuse is 5cm and other leg is 4cm?