Question

in triangle ABC if DE parallel to BC, AD/DB=3/4 and AC=15cm then AE=​

Answer 1

Answer:

I think the answer is 45/7

Step-by-step explanation:

Explanation is in the figure attached

Answer 2

Given:

In ΔABC if DE ║ BC, AD/DB=3/4 and AC=15cm

To Find:

AE = ?

Solution:

Since DE is parallel to BC, the ratio of their sides is equal

⇒ $\frac{AD}{AB} = \frac{AE}{AC}$                    - (1)

We know that,

AB = AD + DB = 3 + 4 = 7

The first ratio can be written as the following:

 $\frac{3}{7} = \frac{AE}{15}$

This can be simplified as

$AE = \frac{15 * 3}{7} = \frac{45}{7} = 6.42$

Hence, we get the final value of AE equal to 6.42 cm