Question

the sides of a triangle have lengths 21, 42, and 33. what kind of triangle is it? acute right obtuse

Explanation:

Step1: Identify the longest side

The longest side $c = 42$, and the other two sides $a = 21$ and $b = 33$.

Step2: Apply the Pythagorean - related inequality

Calculate $a^{2}+b^{2}$ and $c^{2}$.
$a^{2}+b^{2}=21^{2}+33^{2}=441 + 1089=1530$.
$c^{2}=42^{2}=1764$.
Since $a^{2}+b^{2}

Answer:

obtuse