Question

Areas of two similar triangles are 144cm2 and 81cm2 if one side of the first triangle is 6cm then find the corresponding side of the second triangle.

Answer 1

use area ratio theorem
please find the attachment

Answer 2

Step-by-step explanation:

let the two similar triangle be ∆ ABC~∆ PQR

A(∆ABC)/A(∆PQR)=AB²/PQ²-----[THEOREM OF AREA OF SIMILAR TRIANGLE]

144/81=6²/PQ²

12²/9²=6²/PQ²---------TAKING SQUARE ROOT.

THEREFORE, 12/9=6/PQ

HERE 12 AND 6 CAN CUT BECAUSE IT IS ON SE SIDE.

HENCE, IT WILL BE 9/2=4.5