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Elena-2011 [213]
2 years ago
13

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

Mathematics
1 answer:
Anna71 [15]2 years ago
4 0

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

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