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Question

A triangle PQR is constructed with PQ = 10 cm, PR = 8 cm and P=90. Identify the correct classification of Δ PQR.

A
Based on sides - Scalene ; Based on angle - Right angled
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B
Based on sides - Isosceles; Based on angle - Acute angled
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C
Based on sides - Scalene ; Based on angle - Acute angled
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D
Based on sides - Isosceles ; Based on angle - Right angled
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Solution

The correct option is A Based on sides - Scalene ; Based on angle - Right angled
From the given measurements, the triangle is a right-angled triangle.

The third side can be calculated by using Pythagoras property.
PQ2=PR2+QR2
102=82+QR2
QR2=10282
QR2=10064
QR2=36=62
QR=6 cm

Hence, from the measurements of the other two sides, the length of the third side is 6 cm. Therefore. the triangle is a scalene right angled triangle.

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