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प्रश्न
ABC is a right angled triangle with ∠ABC = 90°. D is any point on AB and DE is perpendicular to AC. Prove that :
Find, area of ΔADE : area of quadrilateral BCED.
उत्तर
We need to find the area of ADE and quadrilateral BCED
Area of ΔADE = `1/2 xx AE XX DE = 1/2 xx 4 xx 5/3 = 10/3 cm^3`
Area of quad.BCED = Area of ΔABC Area of ΔADE
` = 1/2 xx BC xx AB - 10/3`
`= 1/2 xx 5 xx 12 - 10/3`
`= 30 - 10/3`
`= 80/3 cm^2`
Thus ratio of areas of ADE to quadrilateral BCED = `(10/3)/(80/3) = 1/8`
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