In the given figure, DE is parallel to BC and AD = 1 cm, BD = 2cm What is - Maths - Triangles

Question

In the given figure, DE is parallel to BC and AD = 1 cm, BD = 2cm
What is the ratio of the area of triangle ABC to the area of
triangle ADE?

Rishabh Mittal · Accepted Answer

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AD=1 cm , BD=2 cmAB=AD+BD=3 cmIn △ABC and △ADE∠ABC=∠ADE      Corresponding angles∠ACB=∠AED      Corresponding anglesBy AA similarity criterion△ABC~△ADESo,Area△ABCArea△ADE=ABAD2=312=91=9:1   ANS

In the given figure, DE is parallel to BC and AD = 1 cm, BD = 2cm. What is the ratio of the area of triangle ABC to the area of triangle ADE?