Question

What is the value of x?
O 2 units
O 3 units
O 5 units
08 units

Answer 1

The value of x is 5 units ⇒ C

Explanation:

In the given figure

∵ Δ ABC is a right triangle at vertex B

∵ AC is its hypotenuse

∵ BD ⊥ AC

∴ (BD)² = AD × DC

∵ BD = 10 units

∵ AD = x units

∵ DC = 4x units

→ Substitute them in the rule above

∴ (10)² = x × 4x

∴ 100 = 4x²

→ Divide both sides by 4

∵
`(100)/(4)` =
`(4x^(2))/(4)`

∴ 25 = x²

→ Take √ for both sides

∴ 5 = x

∴ The value of x is 5 units