Concept Check Classify each triangle as acute, right, or obtuse. ...

Question

Concept Check Classify each triangle as acute, right, or obtuse. Also classify each as equilateral, isosceles, or scalene. See the discussion following Example 2.

Accepted Answer

Hello, everyone. For the following triangle, we are asked to categorize it as an acute right, Rob triangle and also categorize it as equilateral iso or SCA triangle. So we have a triangle. ABC side A B measures 15 side ac measures 15 side BC measures 10 angle B and angle C have the same measure angle A does not. Our answer choices are a acute isosceles B right. Isosceles C A cute skyline D up to scale. So let's start with the sides. So when I think about the sides of a triangle, that's how I classify them as equilateral isosceles or Skyline. So in this case, we have two equal sides. Recalling what we know about these sides of a triangle. Equilateral triangles would have to have all three sides equal. So it's not equilateral. I saw these triangles have two equal sides, skele triangles have no equal sides since we have two equal sides, this is an Isosceles triangle. So we know part of our answer. Now we need to think about classifying it based on the angles. So we are gonna go through is it an acute triangle? Are all the angles in this triangle less than 90 degrees so far it looks that way. But let's keep going. Is it a right triangle? No, there is no right angle. So there is no right triangle here, an obtuse triangle though, we don't have the exact measures. I'm gonna say angle A is not an up to angle. So it appears all three of these angles are less than degrees. So we have an acute triangle. So in the end, we have an acute isosceles triangle, which is answer choice a have a nice day.

Concept Check Classify each triangle as acute, right, or obtuse. Also classify each as equilateral, isosceles, or scalene. See the discussion following Example 2.

Key Concepts

Types of Angles

Types of Triangles by Sides

Triangle Inequality Theorem

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