Question

tell whether the triangle with side lengths of 5.6 feet, 8 feet, and 10.6 feet is a right triangle. the triangle a right triangle.

Explanation:

Step1: Recall the Pythagorean theorem

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

Step2: Substitute the values

Let \(a = 5.6\), \(b = 8\), and \(c=10.6\).
Calculate \(a^{2}+b^{2}\):
\(a^{2}+b^{2}=(5.6)^{2}+8^{2}=31.36 + 64=95.36\)
Calculate \(c^{2}\):
\(c^{2}=(10.6)^{2}=112.36\)

Step3: Compare the results

Since \(95.36
eq112.36\) (i.e., \(a^{2}+b^{2}
eq c^{2}\))

Answer:

is not