Question 93

In the given figure, PQR is a triangle in which, PQ = 24 cm, PR = 12 cm and altitude PS = 8 cm. If PT is the diameter of the circum- circle, then what id the length (in cm) of circum-radius ?

Solution

We have :

Now sin PRS =8/12 =2/3 (1)
Now In triangle PQR
PQ/sinR =2R (Where R is circumradius)
we get 36=2R
so R =18 cm

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