Question

(ii) In right-angled triangle PQR, if angleP=60°, angleR=30° and PR = 12, then find the values of PQ and QR.
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Answer 1

Answer:

From the given informations it is clear that PQR is an isisceles right triangle with QR as hypotenuse. (Since angle Q=angleR= 45°, the third angleP = 180-(45+45)=90 and alsoPR = PQ

If PR = PQ = a then QR = √2.a= 10 cm

So a = 10/√2 cm

So area of triangle PQR = (1/2)(PR)(PQ)

= (1/2)(10/√2)(10/√2)= 100/4 = 25 cm^2.

Step-by-step explanation:

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