Question

The ratio of the corresponding sides of two similar triangle is 16:25. Find ratio of their perimeter as well as their area

Answer 1

Ratio of area of the area of two similar triangles is equal to the ratio of the squares of their corresponding sides.

Area of triangle 1Area of triangle 2  = (Corresponding sideCorresponding side)2= (Corresponding MedianCorresponding Median)2= (Corresponding altitudeCorresponding altitude)2  = (PerimeterPerimeter)2
So,
1625  = (Corresponding sideCorresponding side)2⇒4252  = (Corresponding sideCorresponding side)2⇒(45)2  = (Corresponding sideCorresponding side)2⇒45  = Corresponding sideCorresponding side