Question

For each figure, find the missing side lengths. leave your answer as radicals in simplest form.

Answer 1

Explanation:

48

This is a 30-60-90 triangle, and we are given the
`x` value for the triangle, which makes it easier.

The hypotenuse for a 30-60-90 triangle will always be
`2x`, while the adjacent side for a 30-60-90 triangle will always be
`x*√(3)`.

So the hypotenuse is 14, and the adjacent side is
`7*√(3)`/

49

This is also a 30-60-90 triangle, and we can use the rules explained above.

The x value is
`5*√(3)` so the hypotenuse is
`10*√(3)` and the adjacent side is 15.

51

This is also a 30-60-90 triangle, and the root three value is
`2*√(3)`, making the x value 2 and the hypotenuse 4.

52

This is a 45-45-90 triangle, and the same side value is
`4*√(2)`.

This means that the adjacent side is also
`4*√(2)` and the hypotenuse is 8.

Answer 2

4

Explanation:

I'm not sure what question you are asking about but the one you had answer is incorrect.

You are given the long side which is 2sqrt(3).

Compare this to xsqrt(3) and hopefully you see x is 2 and is the short side.

The hypotenuse is twice the short side measurement so 2(2)=4.

Answer: 4