Question

ratio of corresponding sides of two similar triangles is 2.5 if the area of similar triangle is 64 square CM then what is the area of the bigger Triangle

Answer 1

we know that
if two triangles are similar then
ratio of their square of side= ratio of their area
so, ratio of their square of side= (2.5)×2.5)= 6.25

so area of bigger triangle= 6.25×64=400cm^2

Answer 2

ratio of area : ratio of length


area1/area2=(length1/length2)^2

64/area2=(2/5)^2

64/area2=4/25

area2=(64×25)÷4

area2=400cm^2