Question

In ΔBCD, CD = 5, DB = 7, and BC = 10. Which list has the angles of ΔBCD in order from largest to smallest?
Answer
Multiple Choice Answers
m, angle, C, comma, m, angle, D, comma, m, angle, Bm∠C,m∠D,m∠B
m, angle, B, comma, m, angle, D, comma, m, angle, Cm∠B,m∠D,m∠C
m, angle, B, comma, m, angle, C, comma, m, angle, Dm∠B,m∠C,m∠D
m, angle, D, comma, m, angle, B, comma, m, angle, Cm∠D,m∠B,m∠C
m, angle, D, comma, m, angle, C, comma, m, angle, Bm∠D,m∠C,m∠B
m, angle, C, comma, m, angle, B, comma, m, angle, Dm∠C,m∠B,m∠D

Answer 1

Largest angle is opposite the longest side. Sides opposite the vertices: opposite B = CD = 5, opposite C = DB = 7, opposite D = BC = 10. So m∠D > m∠C > m∠B.

Answer: m∠D, m∠C, m∠B.