Question

in triangle ABC AB is equals to 5 cm BC is equals to 8 cm and c is equal to 7 cm if d and e are respectively the midpoints of ab and BC determine the length of DE​

Answer 1

Answer:

The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side.

On applying the midpoint theorem, we get

DE=

2

AC

=

2

7

=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

Therefore.,

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

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