Question

Use the figure below list the sides least to greatest of triangle PRQ.

Answer 1

Answer:

Hence third choice RQ, RP, PQ is correct.

Step-by-step explanation:

We know that if A, B, C are the angles of the triangle and if ∠A > ∠B

a>b   {Where “a” is side created by angle A and “b” is side created by angle B }.

We will use same property to decide which side is bigger.

In triangle PRQ,

∠P = 30 degree

∠R = 85 degree

then ∠P + ∠R + ∠Q = 180 {since sum of all three angle of triangle is 180 degree}

30 + 85 + ∠Q = 180

115 + ∠Q = 180

∠Q = 180 - 115

∠Q = 65

Now we know measure of all angles so we can do comparison using above property.

Smallest angle is ∠P so side RQ will be smallest.

Largest angle is ∠R so side PQ will be largest.

Hence we get RQ < RP < PQ.

Hence third choice RQ, RP, PQ is correct.