Question

In fig. DE||BC,AE=3cm,CE=6cm,AD=4cm then find the length of AB.

Answer 1

Answer:

Step-by-step explanation:if DE||BC Then AE/EC =AD/DB So from BPT ... In figure, DE || BC AE=3cm, CE=4cm,then find the length of AB. ... U smaller triangle is 6 cm, find the area of bigger triangleIn S ABC, 2B = 90°.

Answer 2

Length of AB = 12 cm

Step-by-step explanation:

Given that

DE||BC

AE = 3 cm

CE= 6 cm

AD= 4 cm

From the figure

DE || BC , thus

Δ ADE ≅ ΔABC

⇒  $\frac{AD}{AB} = \frac{AE}{AC}$

Put all the values from the figure we get

⇒ $\frac{4}{4 + x} = \frac{3}{9}$

⇒ 36 = 12 + 3 x

⇒ 3 x = 24

⇒ x = 8 cm

⇒ Length of AB = 4 + x

⇒ Length of AB = 4 + 8 = 12 cm