Question

Please help me thank you

Answer 1

This cannot be a 45-45-90 right triangle because we don't have congruent sides. This cannot be a 60-60-60 for the same reason.

For a 30-60-90 right triangle, the shorter leg has a length of x, the longer leg has a length of
`x √(3)`, and the hypotenuse has a length of 2x.

Let's test this. Let
`x=7 √(3)`

Multiply that with
`√(3)`


`7 √(3) * √(3) =21`

That matches the length of the longer leg.
Now, let's multiply x with 2 to see if it matches the length of the hypotenuse.


`2x=7 √(3) *2=14 √(3)`

This matches the length of the hypotenuse. Thus, the angles are 30, 60, and 90 because this triangle is a 30-60-90 right triangle. Hope this helps! :)

Answer 2

short leg 7√3
hypo = twice short leg = 2(7√3) = 14√3
long leg = short leg times √3 = (7√3)(√3) = 21

It's right triangle 30 60 90

answer
A) right triangle 30 60 90