Question

Which list gives the side lengths of the triangle in order from shortest to longest

a. ∠R, ∠S, ∠T
b. SR, RT, ST
c. ST, TR, SR
d. ∠T, ∠S, ∠R

Answer 1

Answer: Option C. (ST, TR, SR)

WORKINGS

Given,

m∠R = 37

m∠S = 50

m∠T = ?

m∠R + m∠S + m∠T = 180 (Sum of angles in a triangle)

37 + 50 + m∠T = 180

87 + m∠T = 180

Subtract 87 from both sides of the equation

87 – 87 + m∠T = 180 – 87

m∠T = 93

Therefore the angles of the triangle, in order from smallest to largest: ∠R, ∠S, ∠T

∠R is opposite ST

∠S is opposite TR

∠T is opposite SR

Therefore, the side lengths of the triangle in order from shortest to longest: ST, TR, SR (Option C)