Question 161

Triangle PQR has angle PRQ equal to 90 degrees. What is the value of PR + RQ?

A. Diameter of the inscribed circle of the triangle PQR is equal to 10 cm.
B. Diameter of the circumscribed circle of the triangle PQR is equal to 18 cm

Solution

Let a,b and c be length of PR, QR and PQ.

By 2nd statement we know that c=18 and also area = (a*b*c)/9 and by using statement A we have area = inradius*(a+b+c)/c.

Using both the equations we can find out value of PR + RQ . Hence option C.

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