Question

question 8 of 50
a triangle with side lengths of 5, 5, and 8 is:
acute.
right.
obtuse.

Explanation:

Step1: Recall triangle type rules

For a triangle with sides \(a\), \(b\), \(c\) (where \(c\) is the longest side), we use the Pythagorean theorem extension:

• If \(a^{2}+b^{2}=c^{2}\), right triangle.
• If \(a^{2}+b^{2}>c^{2}\), acute triangle.
• If \(a^{2}+b^{2}

Here, \(a = 5\), \(b = 5\), \(c = 8\).

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

\(a^{2}+b^{2}=5^{2}+5^{2}=25 + 25=50\)
\(c^{2}=8^{2}=64\)

Step3: Compare values

Since \(50<64\) (i.e., \(a^{2}+b^{2}

Answer:

obtuse