This can be found using the Pythagorean theorem. A drawing can help. Find the length of any face diagonal, then use that length as the leg of a right triangle whose hypotenuse is the space diagonal and whose other leg is the edge length not used in the first calculation.

7 0

4 years ago

Solve GHI. Round the answer to the nearest hundredth.

Sedaia [141]

Answer:

Part 1) $HI=15\ units$

Part 2)

Part 3) $< I=28.07\°$

The answer is the option A

Step-by-step 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

$cos(G)=\frac{GH}{GI}$

substitute the values

$cos(G)=\frac{8}{17}$

$G=arccos(\frac{8}{17})=61.93\°$

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

substitute the values

$61.93\°+90\°+< I=180\°$

$< I=180\°-(61.93\°+90\°)=28.07\°$

7 0

4 years ago

Please help me with this

LekaFEV [45]

Answer: can't add an answer, but for the first all 3 angles add up to 180 in a triangle for the second, plug 5 in and also check if all three add up to 180

Step-by-step explanation:

8 0

3 years ago