Question

Find the value of each variable.​

Answer 1

Answer:

It's b:  a  = 10√3, b = 5√3 , c = 15 and d = 5.

Step-by-step explanation:

We have two 30-60-90 triangles here so the sides are in the ratio 2:1:√3.

Consider the small triangle whose hypotenuse is 10:

1/2 = d/10

d = 10/2 = 5.

b / 10 =  √3 /2

b =  10√3/2 = 5√3.

Now, the larger triangle to the left:

2 / 1 =  a /  5√3

a  = 10√3.

2 / √3 =   10√3 / c

c =  30/2 = 15.