Question

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 1

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.

Answer 2

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