    Question

# In triangle ABC, D is a point on side BC such that 2BD = 3DC. Which of the following option is correct?

A

Area of triangle ABD = Area of triangle ABC

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Area of triangle ABD = Area of triangle ABC

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

Area of triangle ABD = Area of triangle ABC

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

Area of triangle ABD = Area of triangle ABC

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C Area of triangle ABD = Area of triangle ABC 2BD = 3DC BDDC=32BD(BD+DC)=3(3+2)BDBC=35 Since, Δ ABD and Δ ABC have the same vertex A and their bases along the same straight line BC, the areas of the triangles are in the ratio of their bases. Area of Δ ABDArea of Δ ABC=BDBC=Area of Δ ABDArea of Δ ABC=35Area of Δ ABD=35 Area of Δ ABC  Suggest Corrections  1      Similar questions  Related Videos   Altitude of a triangle
MATHEMATICS
Watch in App  Explore more