Question

14. In fig D and E are mid-points of AB and AC respectively. The length of DE is

(a) 8.2 cm
(b) 5.1 cm
(c) 4.9 cm
(d) 4.1 cm​

Answer 1

Answer:

since D and E are mid points of AB and AC respectively,

DEIIBC & DE=1/2BC(midpoint theorem)

so, DE=1/2×8.2cm

DE=4.1cm

Answer 2

The length of DE is 4.1 cm.

According to the mid-point theorem, the line segment connecting the midpoints of two triangle sides is parallel to the third side and has a length equal to one-half of the third side.

This theorem allows us to conclude that:

(1) AB = 2 * DE; (2) AC = 2 * DE (2)

Moreover, the following details are provided:

BC = 8.2 cm ...(3) (3)

AE = 5.1 cm, AD = 4.9 cm, and AE = 5.1 cm, respectively (6)

Equations (1) and (2), which say that AB and AC are both equal to twice the length of DE, may be used to determine the length of DE. Hence, we may write:

AB / 2 = AC / 2 = DE

When we incorporate equations (1) and (2) into this formula, we obtain:

(BC / 2) x 4.1 cm = DE

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