Question

Corresponding sides of two similar triangles are in the ratio 2.5. If the area of the smaller triangle is 36cm² then the area of the larger triangle is_____ cm²
(a) 90
(b) 200
(c) 225
(d) 252 ​

Answer 1

Answer:

ans is option c.

similar triangle is at the ratio of 2:5=2/5

corresponding side of smaller triangle =36cm ^2

smaller triangle = (2/5^2) = 4/2

consider smaller triangle as ∆ ABC whose area is 36 cm ^2

now,,

to find area of larger triangle as ∆PQR whose area is=?

SO,,

∆ ABC /∆PQR = 4/25

36/PQR =4/25

cross multiple

4(PQR) =36×25

4(PQR) =900

therefore 900/4

=PQR =225cm ^2