Question

ABC is an equilateral triangle of side 8 cm. If DE is the segment which is joining the mid-points of the side AB and BC, then the value of DE is .

• A. 4 cm
• B. 5 cm
• C. 8 cm
• D. 6 cm

Answer 1

The correct option is A 4 cm

In the given figure,

AB = BC = AC = 8 cm,
DE is the segment joining the mid points of AB and BC.
According to mid point theorem,
The length of the line segment joining the mid points of any two sides of a triangle is half the length of the third side.
$\therefore DE=\frac{1}{2}AC=\frac{1}{2}\times 8=4cm$

Hence, the value of DE is 4 cm.