How can we use the concept:
These are three different classifications of triangles based on angle measure:
Right Triangle: any triangle that contains a right angel (90°)
Acute Triangle: any triangle that has three acute angles (less than 90°)
Obtuse Triangle: any triangle that has one obtuse angle (greater than 90°)
There are three different classifications of triangles based on side length:
Equilateral Triangle: all sides are congruent (the same length)
Isosceles Triangle: two sides are congruent
Scalene Triangle: no sides are congruent (all three sides are of different length)
Sample Math Problems
Question 1:
Name the triangle:
Answer:
All angles are less than 90°, so it is an acute triangle.
All sides are congruent, so it is an equilateral triangle.
This triangle is an acute, equilateral triangle.
Question 2:
Name the triangle:
Answer:
All angles are less than 90°, so it is an acute triangle.
Two sides are congruent, so it is an isosceles triangle.
The triangle is an acute, isosceles triangle
Question 3:
Name the triangle:
Answer:
Has a right angle, so it is a right triangle.
All sides are different lengths, so it is a scalene triangle
The triangle is a right, scalene triangle.
Question 4:
Name the triangle:
Answer:
Has an obtuse angle, so it is an obtuse triangle.
Two sides are congruent, so it is an isosceles triangle.
The triangle is an obtuse, isosceles triangle.
