Question

Triangle ABE is similar to triangle ACD. Find x.

Answer 1

Δ ABE is similar to Δ ACD

⇒ AB/AC = BE/CD

.

Solve x:

3/5 = x/3.5

5x = 10.5

x = 2.1

.

Answer: x = 2.1

Answer 2

`x=2.1`

Explanation:

We have been given that triangle ABE is similar to triangle ACD. We rae asked to find the value of x.

We will use proportions to solve for x as similarity states that corresponding sides of two similar figures are proportional.

`(x)/(CD)=(AB)/(AC)`

Upon substituting our given values in above proportion, we will get:

`(x)/(3.5)=(3)/(5)`

`(x)/(3.5)*3.5=(3)/(5)*3.5`

`x=3*0.7`

`x=2.1`

Therefore, the value of x is 2.1.