Question

In triangle ABC. AB =5CM BC =8CM AND. CA =7CM .If D and E are respectively the mid points of AB and BC , determine length of
DE

Answer 1

By mid point theorem ,line joining the midpoints of two side of triangle is parallel to the third side and equal to half of it.

so, DE//AC

     BE=1/2AC=1/2x7= 3.5cm

Answer 2

Answer:

$\red { Length \: of \: DE } \green {= 3.5 \:cm }$

Step-by-step explanation:

Midpoint Theorem:

The line segment joining the midpoints of two sides of a triangle is parallel to the third side and also half of it .

Given :

In ∆ABC , AB = 5 cm ,

BC = 8 cm,

and CA = 7 cm ,

D and E are respectively the midpoints of AB and BC .

$DE = \frac{1}{2} \times AC$

$= \frac{1}{2} \times 7$

$= 3.5 \:cm$

Therefore.,

$\red { Length \: of \: DE } \green {= 3.5 \:cm }$

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