Question

Solve GHI. Round the answer to the nearest hundredth.

Answer 1

The correct answer is A! I would write the whole answer out but honestly that's a whole bunch of crazy symbols lol.

Just got it right on the quiz, hope this helps!! :)

Answer 2

Part 1)
`HI=15\ units`

Part 2)
`<G=61.93\°`

Part 3)
`< I=28.07\°`

The answer is the option A

Explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

`GI^(2) =GH^(2)+HI^(2)`

substitute the values and solve for HI

`17^(2) =8^(2)+HI^(2)`

`HI^(2)=17^(2)-8^(2)`

`HI^(2)=225`

`HI=15\ units`

Part 2) Find the measure of angle G

In the right triangle GHI

`cos(G)=(GH)/(GI)`

substitute the values

`cos(G)=(8)/(17)`

`G=arccos((8)/(17))=61.93\°`

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

`<G+<H+<I=180\°`

substitute the values

`61.93\°+90\°+< I=180\°`

`< I=180\°-(61.93\°+90\°)=28.07\°`