# Geometry

1. A triangle has side lengths of 34 in, 20 in, and 47 in. Is the triangle acute, obtuse or right?

a. Right
b. Obtuse*
c. Acute

2. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 26 inches long. What is the side length of each piece?

a. 13 inches*
b. 13 √2 inches
c. 13 √3 inches
d. 26 √2 inches

3. The length of the hypotenuse of a 30-60-90 degree triangle is 16. What is the perimeter?

a. 68+8 √3
b. 24+8 √3
c. 16+64 √3*
d. 8+24 √3

4. A triangle has side lengths of 6,8, and 10. Is the triangle right explain? *Not sure

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1. #1 ok

#2 the sides are 26/√2 = 13√2
If the sides of a square are 1, the diagonal is not 2.

#2 In such a triangle, the sides are 1,√3,2

Now multiply everything by 8. (c) is wrong.

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2. #4 Remember the 3-4-5 right triangle. This is just double that. You got #1 right. How could you not be sure on #4?

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3. wertpto

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