A ladder leaning against a wall makes a 60o angle with

Question

Geometry Assignment: Special Right Triangles

Solve the problems pertaining to special right triangles. Leave all answers as reduced radicals.

1. Find the value of x and y.

2. Find the value of x and y.

3. A ladder leaning against a wall makes a 60^o angle with the ground. The base of the ladder is 4 m from the building. How high above the ground is the top of the ladder?

4. A regular hexagon is composed of 12 congruent 30^o -60^o -90^o triangles. If the length of the hypotenuse of one of those triangles is 18√3, find the perimeter of the hexagon.

5. Find the value of x.

6. Find the value of x and y.

7. Find the value of x and y.

8. Determine the length of the leg of a 45^o - 45^o - 90^o triangle with a hypotenuse length of 15 inches.

9. An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.

10. Find x, y and z.