Classify triangles

key notes :

Triangles can be classified based on sides and angles!
Let’s explore both 👇


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” 🎚️


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” 😴


✅ 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.


TypeBased OnPropertyExample
EquilateralSidesAll sides & angles equal60°, 60°, 60°
IsoscelesSides2 sides equal70°, 70°, 40°
ScaleneSidesAll sides different50°, 60°, 70°
AcuteAnglesAll < 90°50°, 60°, 70°
RightAnglesOne = 90°30°, 60°, 90°
ObtuseAnglesOne > 90°30°, 30°, 120°

➡️ 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!