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PLEASE HELP

For the right triangles below, find the values of the side lengths b and c.
Round your answers to the nearest tenth.

PLEASE HELP For the right triangles below, find the values of the side lengths b and-example-1
User Horia
by
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2 Answers

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Answer:

PLEASE HELP

For the right triangles below, find the values of the side lengths b and c.

Round your answers to the nearest tenth.

Explanation:

PLEASE HELP

For the right triangles below, find the values of the side lengths b and c.

Round your answers to the nearest tenth.

User Zyd
by
7.9k points
3 votes

Answer:

b = 1.7

c = 7.1

Explanation:

the triangle with side 'b' is a 30-60-90° Δ where the ratio of sides, respectively, are 1 :
√(3) : 2

to find 'b' we could set up this proportion:

b/3 = 1/
√(3)

cross-multiply:

b
√(3) = 3

b = 3 /
√(3)

if we rationalize the denominator, this becomes (3
√(3))/3 which is
√(3) or 1.7

the other triangle is a 45-45-90°Δ where the ratio of the sides are 1 : 1 :
√(2)

if the legs are 5 then the hypotenuse is 5
√(2) or 7.1

User Eli Bendersky
by
8.2k points

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