Priya draws triangle ABC with area 96 cm^2. She marks D on BC such that BD : DC = 1 : 2, and joins AD. Using equal heights from A, find ar(ABD) in cm^2.

Question

Accepted Answer

32. Triangles ABD and ADC have the same height from A; their areas are in the ratio of the bases BD:DC = 1:2. So ar(ABD) = 1/3(96) = 32 cm^2.

Priya draws triangle ABC with area $96 cm^{2}$ . She marks D on BC such that BD : DC = 1 : 2, and joins AD. Using equal heights from A, find ar(ABD) in $cm^{2}$ .

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More Class 9 Areas — Figures on the Same Base practice

Priya draws triangle ABC with area 96cm2. She marks D on BC such that BD : DC = 1 : 2, and joins AD. Using equal heights from A, find ar(ABD) in cm2.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Areas — Figures on the Same Base practice

Priya draws triangle ABC with area $96 cm^{2}$ . She marks D on BC such that BD : DC = 1 : 2, and joins AD. Using equal heights from A, find ar(ABD) in $cm^{2}$ .