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°

Question

3 years ago

14

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 .

Mathematics

2 answers:

natta225 [31] · Answer 1 · 2022-01-12T16:11:29+03:00

natta225 [31]3 years ago

5 0

The smallest–largest ordering of sides is the same as the smallest–largest ordering of angles.

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

The order of side lengths from longest to shortest is JH, HG, GJ.

Margarita [4] · Answer 2 · 2022-01-12T18:04:11+03:00

Answer:

Step-by-step explanation:

It is given that in triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°.

Since, angle G is the largest angle that is of measure 110°,the side opposite to angle G is JH and is will be the longest side.

The angle J is the smaller than angle G but larger than angle H, thus the side opposite to it that is GH is larger than the third side.

The angle H has the measure of angle 30°, thus the side opposite to angle H is GJ and has the smallest length,

Therefore, The order of the side lengths from longest to shortest is:

HJ>GH>GJ.