Right Triangles and Trigonometry Exercises

Example 1

Find the values of x and y.

Hint

In a Gandalf (45-45-90) triangle, both the legs equal each other.

Example 2

Find the values of x and y.

Hint

This is a Triforce (30-60-90) triangle, which means the hypotenuse is twice the length of the shortest leg.

Example 3

Find the values of x and y.

Hint

The hypotenuses of both the triangles equal each other.

Example 4

Find the perimeter of the figure.

Hint

The perimeter is the outermost edge. Each triangle is a different size, but they're both of the Gandalf variety. One side to find them all….

Example 5

Find the value of x.

Hint

Every triangle is a Triforce (30-60-90) triangle. They get continuously smaller, with the long leg of the bigger triangle equaling the hypotenuse of the next size down.

Example 6

Find the perimeter of the largest triangle.

Hint

These are Triforce triangles, quite obviously. The height of the big triangle equals twice the height of the smaller triangles.

Example 7

What's the value of y in the figure below?

Hint

Think Triforce.

Example 8

∆ABC is a Gandalf (45-45-90) triangle with the 90° angle at A. Find the coordinates of A in quadrant I if given the following coordinates: B (-5, 1) and C (4, 10).

Hint

Using the distance formula, we can calculate the length of between B and C, which is the hypotenuse.

Right Triangles and Trigonometry Exercises

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

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