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A triangle has two sides measuring 8 and 15. The included angle is 33°. What is the length of the side opposite the 33° angle?

User Santthosh
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1 Answer

7 votes

Answer:

Measure of the side opposite to the angle measuring 33° is 9.37 unit

Explanation:

If a, b and c are the sides of a triangle,

And 'a' = 8

b = 15

Measure of the Included angle C = 33°

By applying cosine rule in the given triangle,

c² = a² + b² - 2abcos(C)

c² = 8² + (15)² - 2(8)(15)cos(33°)

= 64 + 225 - 201.28

= 87.72

c = √87.72

c = 9.266

≈ 9.27

Therefore, measure of the side opposite to the angle measuring 33° is 9.37 units

User KungWaz
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