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2 years ago

PLEASE HELP

Mathematics

2 answers:

tekilochka [14]2 years ago

7 0

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.

Step-by-step 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.

Damm [24]2 years ago

6 0

Answer:

b = 1.7

c = 7.1

Step-by-step explanation:

the triangle with side 'b' is a 30-60-90° Δ where the ratio of sides, respectively, are 1 : $\sqrt{3}$ : 2

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

b/3 = 1/ $\sqrt{3}$

cross-multiply:

b $\sqrt{3}$ = 3

b = 3 / $\sqrt{3}$

if we rationalize the denominator, this becomes (3 $\sqrt{3}$ )/3 which is $\sqrt{3}$ or 1.7

the other triangle is a 45-45-90°Δ where the ratio of the sides are 1 : 1 : $\sqrt{2}$

if the legs are 5 then the hypotenuse is 5 $\sqrt{2}$ or 7.1

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