geometry

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

  1. 👍
  2. 👎
  3. 👁
  1. 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)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    1. Classify the triangle according to side length and angle measurement 2. Classify the triangle according to side length and angle 3. Classify the triangle with side lengths 4,4, and 4 4. Classify the triangle with the measuring

  2. Geometry Help?

    Can anyone check my answers? * = My answer 1. Find the length of the missing side. Leave your answer in simplest radical form (1 point) The triangle is not drawn to scale. Sides 4 on the bottom and 3 on the side a. 25 b. 144 c. 5

  3. geometry

    A triangle has side lengths of 14 cm, 48 cm, and 50 cm is it acute, obtuse, or right

  4. Math

    Classify the triangle by its sides. Triangle has side lengths of 15, 15, and 20. Scalene Triangle. Isosceles Triangle. Equilateral Triangle. Right Triangle.

  1. geometry

    An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the

  2. Geometry

    A triangle has side lengths of 4, 5, and 6. Which of the following correctly classifies this triangle. Acute, Right, Obtuse, Isosceles.

  3. General Calculus

    Let θ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths of the sides adjacent to and opposite θ. Suppose also that x and y vary with time. At a certain instant x=7 units and is

  4. math

    if two triangles are similar, what can you say about the ratios of the two side lengths within one triangle and the ratios of the corresponding side lengths in the other triangle? HELP ASAP!! THANK YOU TO WHOEVER HELPS!!

  1. Geometry

    A triangle has side lengths of 8cm, 15cm, and 17cm.classify it as acute, obtuse, or right

  2. Math, Ms. Sue Help asap plss

    Can the numbers 24, 32, and 40 be the lengths of three sides of a triangle? Why or why not My answer: Yes it can. Because the 3 lengths satisfy the triangle inequality theorem. The triangle inequality theorem states that the third

  3. Math

    1. The lengths of the three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. NUMBERS: 30, 40, 50. I'm confused by this question, could someone help/explain what it is asking.

  4. Math

    Again i wrote the question wrong. 4. Classify the triangle with angles measuring 69º, 42º, and 69º. A. right B. equilateral C. isosceles acute D. isosceles obtuse You said isosceles but i didn't know whether it was C or D.

You can view more similar questions or ask a new question.