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. In the figure given below, ABC is an e...

. In the figure given below, ABC is an equilateral triangleand PQRS is a square of side 6 cm. By how many cm2is the area of the triangle more than that of the square?B SR C21(b) 21(c)21/3(d) 63

A

`(21)/(sqrt3)`

B

21

C

`21sqrt(3)`

D

63

Text Solution

Verified by Experts

The correct Answer is:
C
(i) In triangle PBS, `angle B=60^@therefore angleP=30^@ and angle S=90^@`.
(ii) The sides of the triangles PBS,i.e., BS , SP and PB are in the ratio `1:sqrt(3):2`.
(iii) Given `PS=6cm`.
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