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Solve GHI. Round the answer to the nearest hundredth.

Solve GHI. Round the answer to the nearest hundredth.-example-1
User Newred
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2 Answers

4 votes

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!! :)

User JPro
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2 votes

Answer:

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\°

User Jerjou
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6.0k points