5.2.4 Applying Special Right Triangles − Worksheet
Example 1: Find the value of x . Give your answer in simplest radical form. 1. 2.
3.
12
45°
x
14
x
x
x
45°
9 2 √
Example 2: 4. The two arms of the railroad sign are perpendicular bisectors of each other. In Pennsylvania, the lengths marked in red must be 19.5 inches. What is the distance labeled d ? Round to the nearest tenth of an inch.
19.5 in.
d
19.5 in.
Example 3: Find the values of x and y . Give your answers in simplest radical form. 5. y 6. y 7.
30°
x
7 3 √
30°
x
x
15
6
60°
30°
60°
y
Example 4: 8. Regulation billiard balls are 2
1 4
inches in diameter. The rack used to group 15 billiard balls is in the shape of an equilateral triangle. What is the approximate height of the triangle formed by the rack? Round to the nearest quarter of an inch.
8
294
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