Question

What is the value of x?

2 units
3 units
5 units
8 units

Answer 1

the correct answer is 5 on edge

Answer 2

The value of x is 5 units.

C is correct.

Explanation:

We need to solve for x from the given figure.

In ΔADB and ΔCDB

∠ABD=∠BCD (Corresponding angle of two right triangle)

∠ADB=∠CDB (Each 90°)

∴ ΔADB ≈ ΔCDB By AA similarity

If two triangles are similar then ratio of their corresponding height are same.

`(BD)/(DC)=(AD)/(BD)`

Substitute the value of side into the expression

`(10)/(4x)=(x)/(10)`

Cross multiply and solve for x

`10* 10=x* 4x`

`4x^2=100`

`x^2=25`

`x=\pm 5`

x can't be negative because side of triangle is positive.

Hence, The value of x is 5 units.