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
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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
Answered by
1
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 }
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