SOLUTION: The longest side of a triangle is 13 centimeters. Another side is 11 centimeters. If the triangle is obtuse, then what would be the inequality for the range of values for the third

Algebra ->  Triangles -> SOLUTION: The longest side of a triangle is 13 centimeters. Another side is 11 centimeters. If the triangle is obtuse, then what would be the inequality for the range of values for the third      Log On


   

Question 949917: The longest side of a triangle is 13 centimeters. Another side is 11 centimeters. If the triangle is obtuse, then what would be the inequality for the range of values for the third side?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
As the two given sides close their angle, the other two angles approach but never reach
right angles.

Setting the given sides at a right angle, the third side, c would be
c=sqrt%2813%5E2%2B11%5E2%29=sqrt%28169%2B121%29=sqrt%28290%29.

Opening the two given sides to greater than a right angle, the Triangle Inequality
Theorem establishes 13%2B11%3Ec or c%3C24.

Both conditions together, highlight%28sqrt%28290%29%3Cc%3C24%29.