Question

In triangle abc ,ab=6cm and DEllBC such that AE = 1/4AC , find the length of AD

Answer 1

AD/AB= AE/AC

AD/6=1/4

AD=

6/4=3/2= 1.5

*ans= 1.5 cm*

Answer 2

Answer:

AD = 3/2

Step-by-step explanation:

Given,

AB = 6 CM

AE = 1/4 AC

DE || BC

To Find - AD

Solution -

Since DE is parallel to BC, therefore the triangles formed between these two lines will be similar.

Proof of Similarity-

-Considering both the triangles, ABC and ADE :

1. Angle A = Angle A (Common Angle)

2. Angle B = Angle D (Corresponding

3. Angle C = Angle E (Corresponding Angles)

Since the triangles ABC & ADE are similar, the sides will be proportional in ratio.

Therefore, AD/AB = AE/AC

AD = 6 × 1/4 ( Given - AB = 6 CM ; AE/AC = 1/4 )

Therefore, AD = 3/2 CM.