Question

For the given triangle, find the missing length(s). Give an exact answer and, where appropriate, an approximation to three

decimal places.
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. Using radicals, the shorter leg is exactly The shorter leg, up to three decimal places, is approximately
B. The shorter leg is exactly No approximation is necessary.
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
OA. Using radicals, the hypotenuse is exactly The hypotenuse up to three decimal places, is approximately
B. The hypotenuse is exactly No approximation is necessary.
This question: 1 point(s) poss
15

Answer 1

Explanation:

This is a 30-60-90 triangle so the shorter leg is your x

the longer leg is
`x√(3)`

and the hypotenuse is 2x

They gave you the longer leg because it is across from the 60, no the 30 angle.

so 16=
`x√(3)`

x=
`(16)/(√(3) )` you cannot have a root on the bottom so multiply by
`(√(3) )/(√(3) )`

`x=(16√(3) )/(3)` this is the short leg

the long leg multiply by 2 so long leg =
`(32√(3) )/(3)`