Question

In given figure D is the midpoint of AB and AC=1/2 AP=3 cm if AD =DB=4cm and DE||BP find AE

Answer 1

AE = 3 cm

Explanation:

Given data:

D is the midpoint of AB.

$PC = \frac{1}{2}AP=3 cm$

AD = DB = 4cm and DE || BP

To find AE:\

Given

$\frac{1}{2} A P=3 \mathrm{cm}$

Multiply by 2 on both sides,

AP = 3 cm

Since D is the midpoint of AB and DE || BP

By the converse of midpoint theorem

⇒ E is the midpoint of AP

$A E=\frac{1}{2} A P$

      $=\frac{1}{2} \times 6$

AE = 3 cm

To learn more...

1. In triangle ABC , DE parallel to BC.If AD=x, DB=x-2,AE=x+2, EC=x-1.Find the value of x..

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2. In a triangle ABC D and e are points on a b and ac respectively such that DE is parallel BC if a b is equals to 2.4 cm is equal to 3.2 cm is equal to 2 cm and BC is equal to 5 centimetre find BD and CE

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