Question

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°. Complete the following statements.
Since angle G is
angle, the opposite side, JH, is
.

The order of the side lengths from longest to shortest is

Answer 1

Given:

In triangle GHJ, ∠G = 110°, ∠J = 40° and ∠H = 30°.

To find:

The answer to complete the given statements.

Solution:

According to triangle side and angle relationship, largest angle has longest opposite side and smallest angle has shortest opposite side.

∠G = 110°, ∠J = 40° and ∠H = 30°.

Here, ∠G > ∠J = 40° and  ∠G > ∠H. So,  ∠G is the Largest angle.

Since angle G is  largest angle, the opposite side, JH, is  longest.

Clearly,

110° > 40° > 30°.

∠G >  ∠J  > ∠H

Using triangle side and angle relationship, we get

JH > GH > GJ

The order of the side lengths from longest to shortest is JH, GH ahd GJ.