Question

1. In AABC, DE//BC, AD = 6 cm, DB=8
cm and AE=9 cm, then AC = _
Your Answer: X Incorrect
x
15 cm
12 cm
21 cm
25 cm​

Answer 1

Answer:

AC = 21cm

Step-by-step explanation:

Given,

In triangle ABC

DE | | BC

AD = 6cm

BD = 8cm

AE = 9cm

AC = ?

We know that

$\frac{AD}{BD} = \frac{AE}{CE} \\ \implies \frac{6}{8} = \frac{9}{CE} \\ \implies CE = \frac{9 \times 8}{6} \\ \implies \: CE = 12cm$

AC = AE + CE

AC = (12 + 9)cm

AC = 21cm