Classify triangles
key notes :
🔺 CLASSIFY TRIANGLES 🔺
Triangles can be classified based on sides and angles!
Let’s explore both 👇
🟢 Classification by Sides
1️⃣ Equilateral Triangle 🔹
👉 All three sides are equal.
👉 All three angles are 60°.
✨ Example: △ABC where AB = BC = CA
💡 Tip: “Equi” means equal – easy to remember! ⚖️
2️⃣ Isosceles Triangle 🔸
👉 Two sides are equal.
👉 Two angles opposite those sides are also equal.
✨ Example: △PQR where PQ = PR
💡 Tip: “Iso” means same – two sides same! 😄
3️⃣ Scalene Triangle 🔺
👉 All sides are different.
👉 All angles are different.
✨ Example: △XYZ where XY ≠ YZ ≠ ZX
💡 Tip: “Scalene” = “Scale of difference” 🎚️
🔵 Classification by Angles
1️⃣ Acute-angled Triangle 🌞
👉 All angles are less than 90°.
✨ Example: 50°, 60°, 70°
💡 Tip: “Acute” = cute little angles 💖
2️⃣ Right-angled Triangle 📏
👉 Has one 90° angle.
👉 Follows Pythagoras Theorem:
a2+b2=c2
✨ Example: 3-4-5 triangle
💡 Tip: Think of it like a “corner” 👟
3️⃣ Obtuse-angled Triangle 🌙
👉 Has one angle greater than 90°.
👉 The other two angles are acute.
✨ Example: 120°, 30°, 30°
💡 Tip: “Obtuse” = “Big and broad” 😴
💫 Bonus Facts!
✅ The sum of all interior angles of a triangle = 180° 🧮
✅ A triangle is the simplest polygon (3 sides).
✅ The area of a triangle =
Area = 1/2 × base × height
✅ The perimeter = sum of all sides.
🧠 Quick Recap Table
Type | Based On | Property | Example |
---|---|---|---|
Equilateral | Sides | All sides & angles equal | 60°, 60°, 60° |
Isosceles | Sides | 2 sides equal | 70°, 70°, 40° |
Scalene | Sides | All sides different | 50°, 60°, 70° |
Acute | Angles | All < 90° | 50°, 60°, 70° |
Right | Angles | One = 90° | 30°, 60°, 90° |
Obtuse | Angles | One > 90° | 30°, 30°, 120° |
🌟 Remember:
➡️ Every triangle has 3 sides, 3 angles, and 3 vertices!
➡️ It’s the strongest shape in geometry 💪🔺
Learn with an example
A triangle has angle measurements of 86°, 77° and 17°. What kind of triangle is it?
- acute
- right
- obtuse
This triangle is an acute triangle. All 3 angles are less than 90°.
What kind of triangle is this?

- equilateral
- isosceles but not equilateral
- scalene
Look at this triangle:

This triangle is isosceles but not equilateral. 2 angles are the same, but the third angle is different.
A triangle has angle measurements of 90°, 16° and 74°. What kind of triangle is it?
- acute
- right
- obtuse
This triangle is a right triangle. The 90° angle is a right angle.
Let’s practice!