Question

Vertical angle of two triangle are equal. If their areas are in ratio 16 :25, find the ratio of their altitudes drawn from vertex to the opposite side

Answer 1

Hey there!

The ratio of areas of two similar triangles is equal to the ratio of the squares of the corresponding heights.

⇒ Ratio of the Areas of the two triangles = 16:25

∴ Ratio of the squares of the corresponding heights = √(16/25)

                                                                                   = 4/5

                                                                                   = 4:5

Cheers!