Ask Question
16 January, 18:42

Can segments with lengths of 36, 48, and 60 form a triangle? If so, would the triangle be acute, right, or obtuse?

+1
Answers (1)
  1. 16 January, 19:59
    0
    Yes, because by the triangle inequality, a triangle can be formed from three segments of which the sum of the lengths of the two shorter ones exceed the longest segment.

    Here we have 36+48=84 > 60, so the three segments form a triangle.

    Since the ratio of the sides are 36 : 48 : 60 form the ratio of 3:4:5, which is exactly the ratio of a right triangle, we conclude that the triangle is a right triangle.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Can segments with lengths of 36, 48, and 60 form a triangle? If so, would the triangle be acute, right, or obtuse? ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers