Question

In Triangle ABC, AB=5cm, CB=8cm, CA=7cm. D and E are midpoints of CB and AC. Find the length of DE and explain.

Answer 1

Step-by-step explanation:

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 midpointsof AB and BC .

DE = \frac{1}{2} \times ACDE=

2

1

×AC

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

2

1

×7

= 3.5 \:cm=3.5cm

Therefore.,

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

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