Question

What is the value of x? 2 units 3 units 5 units 8 units

Answer 1

Answer:

The value of x is 5 units.

C is correct.

Step-by-step 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.

$\dfrac{BD}{DC}=\dfrac{AD}{BD}$

Substitute the value of side into the expression

$\dfrac{10}{4x}=\dfrac{x}{10}$

Cross multiply and solve for x

$10\times 10=x\times 4x$

$4x^2=100$

$x^2=25$

$x=\pm 5$

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

Hence, The value of x is 5 units.

Answer 2

the correct answer is 5 on edge