Question

If the areas of two similar triangles are 100 sq.cm and 81 sq.cm then find the ratio of their corresponding heights?

Answer 1

`10:9`

Explanation:

we have the ratio of areas

`A_1:A_2::100:81`

the ratio of lengths/heights can be found by sqrt rooting the area ratio

`L_1:L_2"::sqrt(A_1:A_2::100:81)`

`10:9`