Question

pre-algebra ic sem 2 fall 2025
finding distance in the coordinate plane
city zoo
which equations will find the distance between the lions and giraffes? choose two correct
answers.
121 + 256 = c²
11² + 16² = c²
11 + 16 = c
11(2) + 16(2) = 2c
c² + 16² = 11²

Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 11\) and \(b = 16\).

Step2: Calculate \(11^{2}\) and \(16^{2}\)

\(11^{2}=121\) and \(16^{2}=256\). So the equation \(11^{2}+16^{2}=c^{2}\) can be written as \(121 + 256=c^{2}\).

Answer:

\(121 + 256 = c^{2}\), \(11^{2}+16^{2}=c^{2}\)