Question

if triangle ABC similar to triangle ADE and AB=8cm, DE=4.5cm and BC=9cm, then AE=?
pls provide explanation.​

Answer 1

Option (b)

Answer 4cm

See the attachment for solution

One correction

8/x =2

X = 8/2

X = 4cm

Answer 2

Given: if triangle ABC similar to triangle ADE and AB=8cm, DE=4.5cm and BC=9cm

To find: AE

Solution:

Since the triangle ABC and the triangle ADE are similar, their corresponding sides are in proportion with one another. These corresponding sides can be written as follows.

$\frac{AB}{AE} = \frac{BC}{DE} = \frac{AC}{AD}$

Now, the measure of the lengths of a few sides is given in the question. These values are substituted and the measure of the length of AE is found.

$\frac{8}{AE} = \frac{9}{4.5}$

$AE = 4 cm$

Therefore, AE is 4 cm.