Question

IN triangle ABC DE ll AB and AD:DB =3:1 .if A =6.6 cm. then find AC.

Answer 1

Answer:

8.8cm

Step-by-step explanation:

Given AD/BD=3/1

Using Basic proportionality theorem, In a triangle a line is drawn parallel to one side of a triangle and intersect the other two side at distinct points, the other two sides are divided in the same ratio.

In ΔABC⇒

BD

AD

=

EC

AE

⇒

1

3

=

EC

6.6

⇒EC=2.2

Now AC=AE+EC

AC=6.6+2.2=8.8 cm

Answer 2

Question :

In triangle ABC , DE||AB and AD:DB = 3:1.

If A=6.6cm,then find AC.

Answer :-

Given:

AD/DB=3/1

In ∆ABC,

AD/BD = AE/EC

3/1 = 6.6/EC

EC = 2.2cm

Now,

AC= AE + EC

AC = 6.6 + 2.2

AC = 8.8 cm

•Therefore, AC= 8.8cm