Math, asked by Nityamiscool, 3 months ago

In △ABC, D and E are points on the sides AB and AC respectively such that DE || BC. If AD = 2 cm, DB = 2.5 cm, AE = 3 cm, find AC

Answers

Answered by anmol1383
2

Answer:

The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.

It is given that AD=6 cm, DB=9 cm and AE=8 cm.

Using the basic proportionality theorem, we have

ABAD=ACAE=BCDE⇒ABAD=ACAE⇒156=AC8⇒6AC=15×8⇒6AC=120⇒AC=6120=20

Hence, AC=20 cm.

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