Question

In ΔQRS, m∠Q = 11° and m∠R = 40°. Which list has the sides of ΔQRS in order from shortest to longest?

PLEASE HELP!!

Answer 1

RS, SQ, QR

Explanation:

The three angles in a triangle add up to 180° Two angles are given, so we can find the third angle.

11 + 40 + S = 180

51 + S = 180

subtract 51

S = 129°

S is the biggest angle, so the biggest side will be opposite from S. QR is the biggest side.

AngleQ is 11°, the smallest angle. The smallest side will be opposite from the smallest angle. The smallest side is RS.

The 40° angle, AngleR is in the middle. The medium length side is opposite from the medium size angle. SQ is the medium length side.

From small to big:

RS, SQ, QR

Answer 2

The 4th answer down

RS, SQ, RQ

Explanation:

There is a relationship between the angle measurement and the length of the side opposite of the angle. The side opposite of the largest angle measurement has the longest side opposite to that angle, the same is true for the middle angle and the smallest angle.