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=

Respuesta :


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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