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.
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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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