CBSE Class 10 Answered
find area
Asked by kashinigam382 | 05 Jan, 2024, 04:21: PM
Expert Answer
In the given ΔABC , DE || BC and DE / BC = 6/8 .....................(1)
Let us draw a perpendicular line AG from A to BC .
Let AG intersect DE at F. Since DE||BC , AF DE
Area of ΔADE = (1/2) × DE × AF = 45 cm2 ( Given ) ............................... (2)
Area of ΔABC = (1/2) × BC × AG ..........................(3)
Since DE || BC , AG / AF = BC / DE = 8/6 ...................... (4)
Using eqn. (1) and (4) , we rewrite eqn.(3) as
Area of ΔABC = (1/2) × (8/6) DE × (8/6) AF = (64/36) × (1/2) × DE × AF ...............(5)
Using eqn.(2) , we rewrite the above expression (5) as
Area of ΔABC = (64/36) × 45 cm2 = 80 cm2
Answered by Thiyagarajan K | 05 Jan, 2024, 05:18: PM
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