Question

D and E are points on AB and AC respectively such that DE is parallel to BC.if AD=1/3 BD and AE=4.5 cm. find AC

Answer 1

Answer:

Step-by-step explanation:

AC=18cm

Answer 2

The correct answer is 18 cm.

Given: AE = 4.5 cm.

DE || BC.

AD = $\frac{1}{3}$ BD

To Find: Length of AC.

Solution:

Refer to the attachment for triangle.

Let AD = x

As, AD = $\frac{1}{3}$ BD

3 AD = BD

BD = 3x

As, DE || BC by converse of Basic Proportionality Theorem.

Δ ADE ~ Δ ABC

$\frac{x}{3x} =\frac{4.5}{EC}$

EC = 4.5 × 3

EC = 13.5 cm.

AC = 4.5 + 13.5

AC = 18 cm.

Hence, the value of AC = 18 cm.

#SPJ3