Question

practice relating the side lengths and angle measures of one or two triangles. 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 dropdown angle, the opposite side, jh, is dropdown. the order of the side lengths from longest to shortest is dropdown.

Explanation:

Step1: Classify angle G

Angle G = 110° > 90°, so it's obtuse.

Step2: Relate angle to opposite side

In a triangle, the longest side is opposite the largest angle. Angle G is largest, so opposite side JH is longest.

Step3: Order sides by angles

Angles: ∠G(110°) > ∠J(40°) > ∠H(30°). Opposite sides: JH (opposite ∠G), GH (opposite ∠J), GJ (opposite ∠H).

Answer:

Since angle G is obtuse angle, the opposite side, JH, is the longest side.
The order of the side lengths from longest to shortest is JH, GH, GJ.