Additional Practice with special right triangles
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1. The base angle of an isosceles triangle is 30 degrees, and the length of one of the legs is 12. What is
the length of the altitude drawn to the base of the triangle?
2. The perimeter of a square is 56. Express the length of the diagonal of the square in simplest radical
form.
3. If the altitude of an equilateral triangle is 10 feet, find the perimeter of the triangle.
4. In the accompanying diagram, the length of each side of an equilateral triangle is 10. What is the length
of the altitude h.
5. The length of the hypotenuse of an isosceles right triangle is 12 feet. Find the length of the leg in
simplest radical form.
Additional Practice with radicals
Simplify the radical.
1. √
√
2.
3. √
4.
√
√
5. √
√
6.
√
√
7.
√
√
8.
√
√
9. (
√
√ )(
10. √
√
11. √
12.
√
√
√
√
√ )
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Study Guide – Quiz 3.5
1.
2.
3.
4.
5.
6.