geometry
posted by Michael .
Suppose a triangle has side lengths of 6, 7, and 10. What best describes it? Acute, right, obtuse, or not enough information?

It is a scalene triangle. One angle is obtuse, and no two are equal.
The angle opposite the longest side is C. According to the Law of Cosines,
c^2 = a^2 + b^2 2ab cos C.
Since c^2 is greater than a^2 + b^2, cos C is negative, so C is obtuse ( >90 degrees)
Respond to this Question
Similar Questions

Geometry
1. The sides of a triangle have lenghts x, x+4, and 20. Specify those values of x for which the triangle is acute with the longest side 20. 2. use the information to decide if triangle ABC is acute, right, or obtuse. AC=13, BC= sq. … 
Geometry
Tell if the measures 9,11, and 7 can be side lengths of a triangle. if so, classify the triangle as acute, right, or obtuse? 
geometry
A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right 
Geometry
A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right. 
geometry
A triangle has side lengths of 14 cm, 48 cm, and 50 cm is it acute, obtuse, or right 
geometry
classify a triangle with side lengths 5, 9 and 12 as acute, right, or obtuse 
Geometry Part 2
A triangle has side lengths 10,15,and 7.Is the triangle acute,obtuse,or right? 
Math
A triangle has side lengths 10, 15, and 7. Is the triangle acute, obtuse, or right? 
Geometry
Please check my answers 1. A triangle has side lengths of 34 in, 20 in, and 47 in. Is the triangle acute, obtuse or right? 
Geometry
A triangle has side lengths of 4, 5, and 6. Which of the following correctly classifies this triangle. Acute, Right, Obtuse, Isosceles.