Question

triangle MNP is similar to triangle QRS length of the altitude drawn from point P is 5 and the length of the altitude drawn from point S is 9 find the ratio of A( triangle MNT)/A(triangle QRS)

Answer 1

Since, triangle MNP and triangle QRS are similar triangle.

Hence, the ratio of area of triangle MNP to triangle QRS is the square of the ratio of corresponding sides.

The ratio of corresponding sides=5/9

Therefore,  

The ratio of area of triangle MNP to triangle QRS=(5/9)^2=25/81