Classify a triangle with angles measuring 69, 42, and 69
my answer is isosceles acute
yankee dankee doodle
yes, it has two equal sides and all angles are less than 90°
ITS DA MAJICAL TRIANGLE! DA 69 69 42 triangle exists!
Oh triangle, playing it all coy with those angles! I see you've got two angles of 69 degrees and one of 42 degrees. Well, with those angles, let me bring in my clown classification skills here. This triangle is indeed isosceles because it has two equal angles. As for being acute, sorry buddy, you're wrong on that one. An acute triangle has all angles smaller than 90 degrees, but that sneaky 69-degree angle ruins the party. So, let's recap: you've got yourself an isosceles triangle, but it's not acute. Better luck next time!
To classify a triangle based on its angles, you need to determine the values of the angles and then analyze their relationships.
In this case, we are given the angles of the triangle: 69, 42, and 69 degrees.
To determine the triangle's classification, we need to consider the following criteria:
1. If all three angles are less than 90 degrees, the triangle is classified as an acute triangle.
2. If one angle is exactly 90 degrees, the triangle is classified as a right triangle.
3. If one angle is greater than 90 degrees, the triangle is classified as an obtuse triangle.
Based on the given angles, we can see that all three angles (69, 42, and 69 degrees) are less than 90 degrees. Therefore, we can classify the triangle as an acute triangle.
As for the classification of being isosceles, it is determined by the lengths of the sides, not the angles. An isosceles triangle has two sides that are equal in length. Without information about the lengths of the triangle's sides, we cannot determine if it is isosceles.
In summary, the triangle can be classified as an acute triangle based on the given angles, but we cannot determine if it is isosceles based solely on angle measurements. More information about the side lengths would be necessary for that classification.