Cc Geometry H Hw 26 Worksheet With Answers Page 7
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10Example 4: The following diagrams show the basic side lengths of the 30-60-90
and 45-45-90 triangles.
60
0
45
0
2
1
1
30
0
45
0
1
Determine side lengths of three different triangles similar to each of the
triangle in the chart. Then generalize the side lengths in terms of x.
306090 Triangle
454590 Triangle
side lengths 1: : 2
side lengths 1: 1 :
______ : ______ : ______
______ : ______ : ______
______ : ______ : ______
______ : ______ : ______
______ : ______ : ______
______ : ______ : ______
x : ______ : ______
x : ______ : ______
Exercises
1. The triangles below are 30-60-90 right triangles. Find the unknown lengths a
and b, using sin and cos values of an acute angle. Show your solving of equations.
a)
b)
3
a
c
3
30
0
b
60
0
a
c)
e)
d)
a
c
b
a
c
45
0
45
0
a
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