Question

ek tribhuj ABC mein, DE||BC hai tatha AD=4cm, DB=8cm aur AE=8cm hai. EC ka maap Kya hoga.​

Answer 1

Answer:

16 cm

Step-by-step explanation:

In ∆ ABC,

DE || BC (given)

AD/DB = AE/EC (B.P.T)

Substituting,

4/8 = 8/EC

8×8 = 4×EC

64= 4×EC

64/4= EC

EC= 16 cm.

Answer 2

Given :-

• in ∆ABC, DE || BC .
• AD = 4 cm.
• DB = 8 cm.
• AE = 8 cm.

To Find :-

• EC = ?

Concept used :-

• Basic Proportionality Theorem says that if a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Solution :-

using BPT we get,

→ AD / DB = AE / EC

→ 4 / 8 = 8 / EC

→ 1/2 = 8/EC

→ EC = 2 * 8

→ EC = 16 cm. (Ans.)

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