Question

What type of triangle is defined by the following set of side lengths

Answer 1

Answer:

ACUTE TRIANGLE

Step-by-step explanation:

If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.

Therefore, the triangle with sides 11, 9, and 7 is an acute triangle since 9² + 7² is greater than 11²

${9}^{2} \: + \: {7}^{2} > \: {11}^{2} \\ 130 > 121$