Question

1. use the pythagorean theorem to determine whether this is a right triangle. the correct option was b yes no

Explanation:

Step1: Recall the Pythagorean theorem

For a right - triangle with sides \(a\), \(b\) (legs) and \(c\) (hypotenuse), \(a^{2}+b^{2}=c^{2}\). Let \(a = 9\), \(b = 16\) and \(c = 20\).

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

\(a^{2}+b^{2}=9^{2}+16^{2}=81 + 256=337\)

Step3: Calculate \(c^{2}\)

\(c^{2}=20^{2}=400\)

Step4: Compare \(a^{2}+b^{2}\) and \(c^{2}\)

Since \(337
eq400\) (i.e., \(9^{2}+16^{2}
eq20^{2}\))

Answer:

No