Question

Diagram DE is parallel to BC,AE=3cm ,CE=6cm,AD=4cm then find the length of AB​

Answer 1

Answer:

Length of AB = 12 cm

Given that

DE||BC

AE = 3 cm

CE= 6 cm

AD= 4 cm

From the figure

DE || BC , thus

Δ ADE ≅ ΔABC

⇒ \frac{AD}{AB} = \frac{AE}{AC}

AB

AD

=

AC

AE

Put all the values from the figure we get

⇒ \frac{4}{4 + x} = \frac{3}{9}

4+x

4

=

9

3

⇒ 36 = 12 + 3 x

⇒ 3 x = 24

⇒ x = 8 cm

⇒ Length of AB = 4 + x

⇒ Length of AB = 4 + 8 = 12 cm