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Find the missing side length. Round your answer to the nearest tenth.

5.5
21.3
30.8
43.2

Find the missing side length. Round your answer to the nearest tenth. 5.5 21.3 30.8 43.2-example-1
User Sherif
by
8.1k points

1 Answer

4 votes

Answer:

5.545

Explanation:

This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.

in this case, the formula can be applied in the following way

a^2 = b^2 + c^2 - 2*b*c*cos(α)

Where

a,b,c are each of the sides of the triangle,

α is the angle between sides b and c

(See attached picture)

If we use the formula we get

a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)

a^2 = 81 + 36 - 86.2526

a^2 = 30.747

a = sqrt(30.747)

a = 5.545

Find the missing side length. Round your answer to the nearest tenth. 5.5 21.3 30.8 43.2-example-1
User Kyra
by
7.9k points

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