A triangle has 2 angles that measure 60 each. Which of the following best describes thiz triangle.
A. Right isoseles triangle
B. Equilateral triangle
C. Obtuse isosceles triangle
D. Acute scalene triangle
Can somebody give the answers to the whole quiz
I'll be glad to check your answer.
Is it b
Right. Since there are 180 degrees in a triangle, this must be an equilateral.
Sum of angle in triangle=180°
180°=60°+60°+third angle
180°=120°+third angle
third angle=180°-120°=60°
Equilateral triangle has three angles equal 60°
You triangle is equilateral triangle.
To determine the type of triangle described, we need to understand the properties of different types of triangles based on their angles and sides.
1. Right Triangle: A right triangle has one angle equal to 90 degrees. Since the given triangle has two angles of 60 degrees each, it cannot be a right triangle. We can eliminate option A.
2. Equilateral Triangle: An equilateral triangle has all three angles equal to 60 degrees, and all three sides are of equal length. Although the given triangle has two angles of 60 degrees each, we do not know if the sides are equal in length or not. Therefore, we cannot conclude that it is an equilateral triangle. We can eliminate option B.
3. Obtuse Isosceles Triangle: An obtuse triangle has one angle greater than 90 degrees. However, since the given triangle has two angles of 60 degrees each, it cannot be an obtuse triangle. We can eliminate option C.
4. Acute Scalene Triangle: An acute triangle has all angles less than 90 degrees, and a scalene triangle has all sides of different lengths. Since the given triangle has two angles of 60 degrees each and no information is given about the side lengths, we can conclude that it is an acute triangle, but we cannot determine if it is scalene or not. Option D is the most suitable description based on the information provided.
In conclusion, the best description for the given triangle is option D: Acute scalene triangle.