Question

pythagorean distance 51 100% what is the distance c? y 9 8 7 6 5 c=? 4 b=1 3 a=1 2 1 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 √2 ≈1.4 √5 ≈2.2 √17 ≈4.1 √34 ≈5.8 √45 ≈6.7 √98 ≈9.9 √104 ≈10.2 √148 ≈12.2 √250 ≈15.8 pythagorean formula c² = a² + b²

Explanation:

Step1: Identify values of a and b

From the graph, \( a = 1 \) and \( b = 1 \).

Step2: Apply Pythagorean formula

The Pythagorean formula is \( c^{2}=a^{2}+b^{2} \). Substitute \( a = 1 \) and \( b = 1 \):

$$ c^{2}=1^{2}+1^{2}=1 + 1=2 $$

Step3: Solve for c

Take the square root of both sides: \( c=\sqrt{2}\approx1.4 \) (matches the option \( \sqrt{2}\approx1.4 \)).

Answer:

\(\sqrt{2}\approx1.4\) (the option with \(\sqrt{2}\approx1.4\))