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  • In \trianglePQR, \angleP = 70° and \angleR = 30°. Which side of this triangle is the longest? Give reason for your answer.

In \trianglePQR, \angleP = 70° and \angleR = 30°. Which side of this triangle is the longest? Give a reason for your answer.

Answers (1)

In \trianglePQR

\therefore   \angleP + \angleQ +\angleR = 180°                   (angle sum property)

\angleP = 70° and \angleR = 30°                      (Given)

70° + \angleQ + 30° = 180°

\angleQ = 80°

\therefore The greatest angle is \angleQ and we know that the side opposite to the greatest angle will be the longest.

Therefore, PR is the longest side.

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