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
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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!
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!
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