Construct ΔPQR right angled at Q such that QR = 8 cm and PR = 10 cm. Find the length of PQ using the ruler.
A
5 cm
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B
6 cm
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C
6.5 cm
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D
7 cm
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Solution
The correct option is B 6 cm Steps of construction:
Step 1: Draw line segment QR = 8 cm.
Step 2: At Q, construct ∠XQR = 90°
Step 3: With R as centre, cut an arc of radius 10 cm and mark the point of intersection with XQ as P.
From the above construction, measure the length of PQ using ruler.
PQ = 6 cm