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Area of Triangle (Base Length and Height Are Known)

13 Any point ...

Question

13 Any point D is taken on the base BC of a triangle ABC and it is produced to e such that d e equal to ad. show that show that the area of triangle BCE is equal to the area of triangle ABC

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Solution

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D

A B C

A D

E

D E = A D

ar (Δ B C E) = ar (Δ A B C)

(Δ A B C)

(Δ D B C)

△ A B C

△ A D B

△ A D C

E

A D

△ A B C

a r e a (A B E) = a r e a (A C E)

D

B C

△ A B C

A D = A C

A B > A D

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