Question

a triangle has sides with lengths of 19 centimeters, 26 centimeters, and 30 centimeters. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with side lengths \(a\), \(b\), and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Here, the longest side \(c = 30\), and \(a = 19\), \(b = 26\).

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

\(a^{2}+b^{2}=19^{2}+26^{2}=361 + 676=1037\).

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

\(c^{2}=30^{2}=900\).

Step4: Compare

Since \(a^{2}+b^{2}=1037
eq900 = c^{2}\), the triangle is not a right - triangle.

Answer:

no