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 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.

y 60

o

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.

9.0.0.2.20101008.1.734229

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