SPECIAL RIGHT TRIANGLES PRACTICE WORKSHEET HONORS GEOMETRY

Problem 1 :

special-right-triangles-q1

Solution

Problem 2 :

special-right-triangles-q2

Solution

Problem 3 :

special-right-triangles-q3

Solution

Problem 4 :

special-right-triangles-q4

Solution

Problem 5 :

special-right-triangles-q5

Solution

Problem 6 :

special-right-triangles-q6

Solution

Problem 7 :

special-right-triangles-q7

Solution

Problem 8 :

special-right-triangles-q8

Solution

Problem 9 :

The shortest side of a 30º - 60º - 90º triangle is 15. Find the length of the other sides.

Solution

Problem 10 :

The hypotenuse of a 30º - 60º - 90º triangle is 18. Find the length of the other sides.

Solution

Problem 11 :

One leg of a 45º - 45º - 90º triangle is 9. Find the length of the other sides.

Solution

Answer Key

1)  y = 8, w = 4√3

2)  y = 4, w = 2√3

3)  y = 3√2, w = 3√6

4)  w = 5, y = 5√3

5)  w = 4, y = 4√3

6)  w = 3, y = 3√3

7)  w = 62, y = 12

8)  y = 12, 12/√3 = w

9)  hypotenuse = 30, y = 15

10) shorter length = 9, longer length = 9√3

11)  other sides are 9√2/2 and 9√2/2.

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