Question

# The height of triangle ABC is 40 cm and its area is 100 cm2. In triangle ADE, DE = 12BC. If the areas of these triangles are equal then find height of triangle ADE (in cm).80

Open in App
Solution

## The correct option is A 80Area of triangle ABC = 12×40×BC, Area of triangle ADE= 12×y×DE, and these areas are equal. Also DE= 12BC. ∴40×BC2=y×DE2 ⟹40×BC2=y×BC2×2 This simplifies to y=80. Hence, height of triangle ADE will be 80cm.

Suggest Corrections
1