Let p, q, r and l, m, n be the lengths of the sides of the two triangles such that p^2+q^2+r^2=117,l^2+m^2+n^2=117 and lp+mq+nr=117.the two triangles can always be proved by which of the congruence criterion?

a) ASA
b) SAS
c) RHS
d) SSS

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Solution

Since the sum of the square of the sides of both the triangles is given to be equal then we can prove the congruency by SSS because in other 3 options we need information about angle of both triangles but clearly no data is provided for the same.
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