In A ABC, m ZA = 36°, m ZB = 45°, and m ZC = 99º. Which statement is true?
A. CA > BC > AB
B. BC > CA > AB
C. AB > BC > CA
D. AB > CA > BC

The true statement is AB > CA > BC ⇒ D

Step-by-step explanation:

In any triangle, the longest side in length is the opposite to the greatest angle in the measure, and the shortest side in length is opposite to the smallest angle in the measure.

Let us solve the question

∵ ABC is a triangle

∵ m∠A = 36°

∵ m∠B = 45°

∵ m∠C = 99°

→ That means C is the greatest angle and A is the smallest angle

∴ ∠C is the greatest angle and ∠A is the smallest angle

∴ The arrange of the measures of the angles is m∠C > m∠B > m∠A

∵ AB is the opposite side of ∠C

∴ AB is the longest side

∵ BC is the opposite side of ∠A

∴ BC is the shortest side

∵ CA is the opposite side of ∠B

∴ The arrange of the lengths of the sides is AB > CA > BC

∴ The true statement is AB > CA > BC

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