Question

Help me please, Find a, b, and c.

Answer 1

Answer:It’s C

Explanation:

Answer 2

a =
`6*√(3)`

b = 12

c =
`6√(2)`

Explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths
`1-1-√(2)`.

A 30-60-90 right triangle has side lengths
`1 - √(3) -2`.

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length
`√(3)`. Therefore,
`a = 6*√(3)`.

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
`√(2)`. This means
`√(2)` was multiplied by
`12 = √(2) * √(72)`. This means that side c is
`√(72)=6√(2)`.