Question

Work out the length of x

Answer 1

0.0707 cm

Explanation:

We can solve this using pythgaoras theorem:

a² + a² = c² (We can use the same letter, a, because the lengths are the same length; a² + a² = 2a²)

2a² = 0.1² (simplify the right side; 0.1 × 0.1 = 0.01)

2a² = 0.01 (0.01 ÷ 2 = 0.005)

a² = 0.005 (square root both sides)

a = 0.070710... ≈ 0.0707 cm

Hope this helps!

Answer 2

• The value of x is 0.071 cm.

Explanation:

Using Pythagoras theorem, let's solve for x.

• 0.1² = x² + x²
• => 0.01 = 2x²
• => 0.01/2 = 2x²/2
• => 0.005 = x²
• => √0.005 = √x²
• => √0.005 = x
• => x = 0.071 (Rounded to nearest thousandth)

Hence, the value of x is 0.071 cm.