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In QRS, mQ = 80, mR = 65, and mS = 35. Which side of QRS is the longest?

A. Cannot be determined
B. QS
C. QR
D. RS

In QRS, mQ = 80, mR = 65, and mS = 35. Which side of QRS is the longest? A. Cannot be determined B. QS C. QR D. RS class=

Answer :

Banabanana

RS is the longest side of ΔQRS, because it lies opposite the biggest angle (Q=80°).

Answer: D

Given the angles of the triangle QRS, using the Relationship of sides to interior angles in a triangle, RS is the longest side.

What is Relationship of sides to interior angles in a triangle?

In any triangle,

The shortest side is always opposite the smallest interior angle.

The longest side is always opposite the largest interior angle.

Since, ∠Q = 80° is the largest, side opposite to it, i.e., RS will be the longest.

Learn more about Relationship of sides to interior angles in a triangle here

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