Question

pythagorean distance
what is the distance c?
(there is a coordinate grid with two blue points, a=7, b=0, and c=? marked. also, a number pad with numbers and square roots is on the right, and the formula c² = a² + b² is at the bottom.)

Explanation:

Step1: Identify formula

We use the Pythagorean theorem: \( c^{2}=a^{2}+b^{2} \). Given \( a = 7 \), \( b = 0 \).

Step2: Substitute values

Substitute \( a = 7 \) and \( b = 0 \) into the formula: \( c^{2}=7^{2}+0^{2}=49 + 0=49 \).

Step3: Solve for c

Take the square root of both sides: \( c=\sqrt{49}=7 \).

Answer:

7