Question

if a triangle has sides of length 12 and 16, how long is the hypotenuse? (1 point)

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Let \(a = 12\), \(b = 16\), then \(c^{2}=12^{2}+16^{2}\)

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(12^{2}=144\), \(16^{2}=256\)
So \(c^{2}=144 + 256\)

Step3: Sum up

\(c^{2}=400\)

Step4: Find \(c\)

\(c=\sqrt{400}=20\)

Answer:

\(20\)