complete geometry assignments, provide answer key and solution (prove)

Geometry Writing Assignment: Special Right Triangles Each problem is worth 5 points Total Points: 50

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 60o 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 -60 -90 triangles. If the length of the hypotenuse of one of those triangles is 18 3 , find the perimeter of the hexagon.

30

x

y

60°

60°

45°

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 45o – 45o – 90o 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.