Question

pythagorean distance 6 100%
what is the distance c?
(graph with coordinate plane, points, and labels a=6, b=8, c=?; pythagorean formula c² = a² + b²; number grid on right)

Explanation:

Step1: Identify values of a and b

From the graph, \( a = 6 \) and \( b = 8 \).

Step2: Apply Pythagorean theorem

The formula is \( c^{2}=a^{2}+b^{2} \). Substitute \( a = 6 \) and \( b = 8 \):
\( c^{2}=6^{2}+8^{2}=36 + 64 = 100 \).

Step3: Solve for c

Take the square root of 100: \( c=\sqrt{100}=10 \).

Answer:

10