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

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.

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 : [tex]\sqrt{3}[/tex] : 2

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

b/3 = 1/[tex]\sqrt{3}[/tex]

cross-multiply:

b[tex]\sqrt{3}[/tex] = 3

b = 3 / [tex]\sqrt{3}[/tex]

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

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

if the legs are 5 then the hypotenuse is 5[tex]\sqrt{2}[/tex] or 7.1

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