Question

What is the value of x?

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Answer 1

Answer: 24

15/5=x/8

Explanation:

The triangles are similar and the right hand triangle is 3 times larger than the other.

Similar because two angles are equal so the third is also. One angle is marked as equal, and one is formed by intersecting lines and so is equal to the corresponding angle.

Answer 2

The value of x is 24.

Explanation:

In triangle ABC and EDC,

`\angle A=\angle E` (Given)

`\angle ACB=\angle ECD` (vertically opposite angles)

By AA property of similarity,

`\triangle ABC\sim \triangle EDC`

The corresponding sides of similar triangles are proportional.

`(AB)/(BC)=(ED)/(DC)`

`(5)/(8)=(15)/(x)`

`5x=15* 8`

Divide both sides by 5.

`x=3* 8`

`x=24`

Therefore the value of x is 24.