Question

For the triangle shown, three possible lengths of x, y, and z are given. Find the measurements for the other two sides in

Answer 1

Answer:

it would be 6

Step-by-step explanation:

Answer 2

Answer:

1) z = 6 y = 3√3

2) x = 6, z = 12

3) x = 5, y = 5√3

Step-by-step explanation:

x = 3

Sin(30) = x/z

½ = 3/z

z = 3/½ = 6

Tan(30) = x/y

1/√3 = 3/y

y = 3√3

For other parts, you can either use trig ratios again or use similar figures.

I'm using similar figures, comparing the next triangles to the first one

2) y = 6√3 (every side doubles)

x = 6, z = 12

3) z = 10

(Factor 10/6)

x = 3×10/6 = 5

y = 3√3 × 10/6 = 5√3