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How do I find the side lengths for this triangle if only one side and ond angle is given? Plz help

How do I find the side lengths for this triangle if only one side and ond angle is-example-1
User Rlarcombe
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1 Answer

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The two unknown sides are equal to each other so then the two unknown angles are also equal.

A triangle angles add up to 180
36 + 2x = 180
2x = 180 - 36
2x = 144
unknown angles x = 72°

draw line down center of triangle to make two right triangles with side 22/2 = 11. SOH CAH TOA

cos(72) = 11/H
H = 11/cos(72)
H = 35.6

perimeter = 22 + 2(35.6)
perimeter = 93.2 cm

answer E .



User Shibon
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