Question

the sides of a triangle are 99, 90, and 93. use the pythagorean theorem to determine if the triangle is right, acute, or obtuse. answer attempt 1 out of 2 the triangle is because the square of the largest side the sum of the squares of the other two sides. acute obtuse right

Explanation:

Step1: Identify the largest side

The sides are 99, 90, 93. The largest side $c = 99$.

Step2: Calculate the square of the largest side

$c^{2}=99^{2}=9801$.

Step3: Calculate the sum of the squares of the other two sides

$a = 90$, $b = 93$. $a^{2}+b^{2}=90^{2}+93^{2}=8100 + 8649=16749$.

Step4: Compare the values

Since $c^{2}=9801$ and $a^{2}+b^{2}=16749$, and $c^{2}

Answer:

The triangle is acute because the square of the largest side is less than the sum of the squares of the other two sides.