Question

In the given figure, the value of x is ______.

Options

• 6 m

• 8 m

• 9 m

• 5 m

Answer 1

In the given figure, the value of x is 6 m.

Explanation:

Using pythagoras theorem for right-angled Δ, we have

(x + 2)² + x² = 10²

`\implies` x² + 4x + 4 + x² – 100 = 0

`\implies` 2x² + 4x – 96 = 0

`\implies` 2(x² + 2x – 48) = 0

`\implies` x² + 2x – 48 = 0

`\implies` x² + 8x – 6x – 48 = 0

`\implies` x(x + 8) – 6(x + 8) = 0

`\implies` (x – 6)(x + 8) = 0

Either x – 6 = 0 or x + 8 = 0

`\implies` x = 6 or x = – 8

But x > 0

∴ x = 6 m