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Question
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 90°,BC = 6cm,AB = 8cm);
ΔPQR;(∠Q = 90°,PQ = 6cm,PR = 10cm).
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Solution
In ΔABC and ΔPQR
∠B = ∠Q
BC = PQ
By Pythagoras theorem,
PR2 = PQ2 + QR2
102 = 62 + QR2
100 = 36 + QR2
QR = `sqrt(100 - 36)`
QR = `sqrt(64)` = 8cm
AB = QR
Therefore,
ΔABC ≅ ΔPQR ...(SAS criteria).
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