Question

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

Answer 1

Answer:

The value of x is 5 units ⇒ C

Step-by-step 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

∵ $\frac{100}{4}$ = $\frac{4x^{2}}{4}$

∴ 25 = x²

→ Take √  for both sides

∴ 5 = x

∴ The value of x is 5 units