Work out the length of x

Mathematics

2 answers:

Naddik [55]2 years ago

7 0

Answer:

0.0707 cm

Step-by-step 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!

Anton [14]2 years ago

4 0

Answer:

The value of x is 0.071 cm.

Step-by-step 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.

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