πΊ What is a Triangle?
A triangle is a closed shape with:
- Exactly 3 straight sides
- Exactly 3 angles
- The sum of all 3 angles is always 180Β°
π Types of Triangles by Sides
1. Equilateral Triangle
All 3 sides are equal
All 3 angles are 60Β°
πΊ (looks the same on all sides)
2. Isosceles Triangle
2 sides are equal
2 angles are equal
3. Scalene Triangle
All 3 sides are different lengths
All 3 angles are different
π Types of Triangles by Angles
1. Acute Triangle
All 3 angles are less than 90Β° (sharp angles)
2. Right Triangle
One angle is exactly 90Β° (square corner)
Very important in real life!
3. Obtuse Triangle
One angle is greater than 90Β° (wide angle)
βοΈ Letβs Practice Together, My Dear Student!
Practice 1: Name the Triangle
1. All sides equal β Equilateral
2. Has a 90Β° angle β Right Triangle
3. All sides different β Scalene
4. Two sides equal β Isosceles
Practice 2: True or False
1. A triangle can have two right angles β False
2. The angles in a triangle always add up to 180Β° β True
3. An equilateral triangle is also isosceles β True
Practice 3: Word Problems (Canadian Style)
1. A road sign is shaped like a triangle with all sides equal. What type of triangle is it?
Equilateral Triangle
2. You draw a triangle with angles 40Β°, 60Β°, and 80Β°. What type is it?
Acute Triangle
Challenge Question
Can a triangle have one obtuse angle and one right angle? Why or why not?
No β because 90Β° + more than 90Β° = more than 180Β°
Fantastic Job, My Dear Student! π
You now know all about triangles! They are everywhere β in road signs, roofs, hockey nets, and even in the maple leaf on the Canadian flag.
I am so proud of you for learning Geometry so well. Go on a triangle hunt around your house and see how many you can find!
π You are smart. You are kind. You can do hard things.
When you are ready, tell me the next topic (Quadrilaterals, 3D Shapes, Symmetry, or anything else) and I will create another beautiful lesson just for you!