Maths / Areas Of Parallelograms And Triangles / Area of Triangle

QUESTION
 

In DeltaABC, if a point D divides BC in the ratio 2 : 3, show that ar(large DeltaABD) : ar (large DeltaACD) = 2 : 3.

EXPLANATION
Explain TypeExplanation Content
Text

Draw the angle.

page no. 2

Ans. no. 9

Construction :: AE: perp BC ar(Delta ABD)=frac{1}{2}times BDtimes AE ar(Delta ABD)=frac{1}{2}times CD times AE arfrac{Delta ABD }{ar(Delta ACD )}=frac{frac{1}{2}times BDtimes AE}{frac{1}{2}times CDtimes AE} frac{ar(Delta ABD)}{ar(Delta ACD)}=frac{BD}{CD}=frac{2}{3}

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