If a triangle has angles measuring 46", 51", and 83", what type of triangle is it? (1 point)

acute triangle

small triangle

O right triangle

Oobtuse triangle

1 answer

To determine the type of triangle based on its angles, we can recall the following definitions:

  • An acute triangle has all angles less than 90 degrees.
  • A right triangle has one angle equal to 90 degrees.
  • An obtuse triangle has one angle greater than 90 degrees.

Given the angles in the triangle: 46°, 51°, and 83°.

  1. All of the angles (46°, 51°, and 83°) are less than 90°, so the triangle is not a right triangle.
  2. All of the angles are also less than 90°, meaning it cannot be an obtuse triangle.

Since all three angles are less than 90 degrees, this triangle is classified as an acute triangle.

So the answer is: acute triangle.