Question

pythagorean distance
what is the distance c?
pythagorean formula c² = a² + b²
(chart and number options on the right, grid with points and a=2, b=1, cc=? on the left)

Explanation:

Step1: Identify values of a and b

From the graph, \( a = 2 \) and \( b = 1 \).

Step2: Apply Pythagorean formula

The Pythagorean formula is \( c^{2}=a^{2}+b^{2} \). Substitute \( a = 2 \) and \( b = 1 \) into the formula: \( c^{2}=2^{2}+1^{2}=4 + 1=5 \).

Step3: Solve for c

Take the square root of both sides: \( c=\sqrt{5}\approx2.2 \).

Answer:

\(\sqrt{5}\approx2.2\) (corresponding to the option with \(\sqrt{5}\approx2.2\) in the choices)