In the figure given below. If AD = 2.4 cm, DB = 3.6 cm and AC = 5 cm. Find AE.
Given DE || BC, AD = 2.4 cm, DB = 3.6 cm and AC = 5 cm.
We have to find AE.
We know that basic proportionality theorem states that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.
⇒ 2.4 (5 – AE) = 3.6 AE
⇒ 12 – 2.4 AE = 3.6 AE
⇒ 12 = 3.6 AE + 2.4 AE
⇒ 12 = 6 AE
⇒ AE = 12/6
∴ AE = 2 cm
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