If a triangle has angles measuring 46 degrees, 51 degrees, and 83 degrees, what type of triangle is it?

a small triangle
b right triangle
c obtuse triangle
d acute triangle

1 answer

The three angles of the triangle measure 46 degrees, 51 degrees, and 83 degrees. To determine the type of triangle, we need to consider the sum of the angles.

If the sum of the angles in a triangle is 180 degrees, then:
46 + 51 + 83 = 180

Since the sum of the angles is equal to 180 degrees, this triangle is a type of triangle. However, we still need to determine if it is acute, right, or obtuse.

In an acute triangle, all angles are less than 90 degrees.
In a right triangle, one angle is exactly 90 degrees.
In an obtuse triangle, one angle is greater than 90 degrees.

From the given angles, we can see that none of them is equal to or greater than 90 degrees. Therefore, this triangle is an acute triangle.

Answer: d) acute triangle
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