Question

AC=4, AE=7, AD=10, what is the length of AB? A: 1 3/7 B: 2 1/2 C: 5 5/7 D: 17 1/2

Answer 1

Answer:

C. $AB = 5\frac{5}{7}$

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, $\frac{AE}{AC} = \frac{AD}{AB}$

$\frac{7}{4} = \frac{10}{AB}$

Cross multiply

$7*AB = 10*4$

$7*AB = 40$

Divide both sides by 7 to find AB

$\frac{7*AB}{7} = \frac{40}{7}$

$AB = \frac{40}{7}$

$AB = 5\frac{5}{7}$