7. In the adjoining figure find Area of Triangle ABC and perimeter of Triangle ABC

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Q. In the adjoining figure,

A B C

and

D B C

are two triangles on the same base

B C, A L ⊥ B C

and

D M ⊥ B C

. Then,

\frac{a r e a (△ A B C)}{a r e a (△ D B C)}

is equal to:

Q. In the adjoining figure, ∆ABC is a triangle and through A, B, C, lines are drawn, parallel respectively to BC, CA and AB, intersecting at P, Q and R. Prove that the perimeter of ∆PQR is double the perimeter of ∆ABC.

Q. The perimeter of an equilateral

△ A B C

41.36 c m

. Find the area of triangle

A B C

In the adjoining figure, $Δ A B C$ is a triangle and through A, B, C lines are drawn, parallel respectively to BC, CA and AB, intersecting at P, Q and R. Prove that the perimeter of $Δ P Q R$ is double the perimeter of $Δ A B C$ .

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A D

is a median of

△ A B C

and

D E ∥ B A

. Show that

B E

is also a median of

△ A B C

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