Question

If the area of two similar triangles are 81cmsquare and 144cmsquare . If the largest side of the smaller triangle is 27cm , find the largest side of the larger triangle

Answer 1

In two similar triangles,let it be ∆ABC&∆PQR , and the corresponding sides be AB and PQ,
now let's take PQ as x , therefore by theorum of similar triangles and sides relation
$ar(abc) \div ar(pqr) = {( ab)}^{2} \div (pq )^{2}$
hence largest side of larger ∆ is 36cm

Answer 2

Let the largest side of larger triangle be x.

ACQ....

(9/12)^2 =( 27/x)^2

{cutting sq.}

9/12 = 27/x

9x = 324

x = 324/9

x = 36