Question

In the given figure, l // m // n and D is mid-point of CE. If AE = 12.6 cm, then BD is ______.

Options

• 12.6 cm

• 25.2 cm

• 6.3 cm

• 18.9 cm

Answer 1

In the given figure, l // m // n and D is mid-point of CE. If AE = 12.6 cm, then BD is 6.3 cm.

Explanation:

By the Midpoint Theorem, the line segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side. Since D is the midpoint of CE and l // m // n, B is the midpoint of CA, making `BD = \frac{1}{2} AE = \frac{12.6\text{ cm}}{2} = 6.3\text{ cm}`.