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Properties of Parallelograms

СP QВ30. The ...

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СP QВ30. The base BC of an isosceles triangle ABC is produced to D and a straline DQ is drawn cutting AC at P and meeting AB in Q. Prove that AP isgreater than AQ

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ABC is an isosceles triangle with AB = AC. Drawn AP ⊥ BC to show that ∠B = ∠C.

In an isosceles

△

ABC, the base AB is produced both the ways to P and Q such that

A P \times B Q = {A C}^{2}

△ A P C \sim △ B C Q

.

Q. Question 5
ABC is an isosceles triangle with AB = AC. Drawn AP

⊥

BC to show that

∠ B = ∠ C

A B C

is an isosceles triangle with

A B = A C

A P ⊥ B C

∠ B = ∠ C

If a line parallel to

B C

intersects side

A B

A C

A B C

P

Q,

then prove that

\frac{A P}{A B} = \frac{A Q}{A C} .

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