Question

D and e are the midpoint of side a b and ac respectively of triangle ABC if the perimeter of triangle ABC is equals to 35 cm find the perimeter of triangle ADE

Answer 1

DE=1/2 BC Due to Midpoint theorm
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Answer 2

Answer:

Perimeter of triangle ADE is 17.5 cm

Step-by-step explanation:

Given that D and E are the midpoint of side AB and AC respectively of triangle ABC if the perimeter of triangle ABC is equals to 35 cm.

we have to find the perimeter of triangle ADE.

Perimeter=35 cm

In triangle ABC

By mid-point theorem which states that the line segment joined by two sides of triangle is parallel to third side and also half of the length of third side.

$DE=\frac{1}{2}BC$

As Perimeter=35 cm i.e

AB+BC+CA=35

Divide by 2 throughout

$\frac{1}{2}AB+\frac{1}{2}BC+\frac{1}{2}CA=\frac{1}{2}\times 35$

$AD+DE+AE=\frac{35}{2}=17.5 cm$

⇒ Perimeter of triangle ADE is 17.5 cm