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Suppose a triangle has sides a, b, and c with side c the longest side, and that a2 + b2 > c2. Let θ be the measure of the angle opposite the side of length c. Which of the following must be true? Check all that apply..

Verified Answer :

meerkat18

The correct answer to your choices are the following:
-The said triangle is not a right triangle, according to your data, if C is the longest side of the triangle so it may affect the angle of the remaining sides.
-The triangle is an acute triangle.
I hope that you are satisfied with my answer

The following that must be true for the triangle are as follows:

  • cosθ < 0
  • the triangle is not a right triangle
  • θ is an obtuse angle

How to know a triangle?

For a right angle triangle the sum of the square of the legs is equals to the hypotenuse side(longest side).

Therefore, for a right triangle

a² + b² = c²

For the triangle that has a² + b² > c², it shows it is not a right triangle.

we can assume values and use cosine law. ∅ then is greater than 90 degrees which is an obtuse angle.

In this case, cos ∅ is negative.

learn more on triangle here: https://brainly.com/question/1619127

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