Question

ABC ~ ADE

BC is parallel to DE. AB = x, AD = 5, AC = x+1 and AE = 7. The value of x is
0.5
1.5
2.5
3.5

Answer 1

2.5 is the right answer to this question

Answer 2

The correct answer is option 3. The value of x is 2.5.

Explanation:

It is given that the triangle ABC and ADE are similar triangles.

Two triangles are called similar if their corresponding sides are have same proportion or the corresponding interior angles are equal.

Since triangle ABC and ADE are similar triangles, therefore we get

`(AB)/(AD)=(BC)/(DE) =(AC)/(AE)`

`(x)/(5)=(x+1)/(7)`

`7x=5(x+1)`

`7x=5x+5`

`7x-5x=5`

`2x=5`

`x=2.5`

Therefore the value of x is 2.5. Option 3 is correct.