Question

perimeter of two similar triangles is given35 and 45
.
find the ratio of their areas

Answer 1

two similar triangles, the ratio of their areas is the square of the ratio of their sides. Try this The two triangles below are similar. Drag any orange dot at P,Q,R. Note the ratio of the two corresponding sides and the ratio of the areas.

hope it will help you.

Answer 2

Answer:

ratio of perimeter of two similar triangles =

(side1) : (side2) = 35 : 45 = 7 : 9

ratio of area of two similar triangles =

of two similar triangles = (side1)² : (side2)² = 7² : 9² = 49 : 81 (Ans)

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