The sides of a triangle have lengths 15,11, and 8. What kind of triangle is i acute right obtuse

## Step 1: Calculate $a^2$, $b^2$, and $c^2$<br />### We have $a=15$, $b=11$, and $c=8$. We calculate $a^2 = 15^2 = 225$, $b^2 = 11^2 = 121$, and $c^2 = 8^2 = 64$.<br /><br />## Step 2: Compare $a^2$ with $b^2 + c^2$<br />### We compare $a^2$ with $b^2 + c^2$. We have $b^2 + c^2 = 121 + 64 = 185$. Since $225 > 185$, we have $a^2 > b^2 + c^2$.<br /><br />## Step 3: Determine the type of triangle<br />### Since $a^2 > b^2 + c^2$, the triangle is obtuse.