ABC and CDE are two similar triangles AC =8 cm and BC = 5 cm CD = 18 cm CE =24 cm To find : AB and DE

Answer 1

Solution:

These are two similar triangles because they have the same shape but a different size. Therefore, the corresponding sides are similar.

If you look at the side lengths, you should see that there is one variable. That is the missing side length. You can figure out the missing side length by using proportions because the corresponding side lengths form a proportion. Let’s write ratios that form a proportion and find the pattern to figure out the length of the missing side.

then,

Let AB =x and DE = y

AB/CD = AC/CE = BC/DE

x /18 = 8/24 = 5/y

Now,

x/18 = 1/3

x = 6 cm =AB

then

5/y = 1/3

y = 15 cm = DE

hence, AB = 6 cm and DE = 15 cm