SEAGReady
Shape and SpaceP6 level24 questions in the full course

Classify TrianglesSEAG Practice Questions

Classifying triangles by sides (equilateral, isosceles, scalene) and by angles (right-angled, acute, obtuse).

Where your child meets this in real life: Identifying triangle types in structures, art, and design

What your child needs to know

SEAGReady breaks classify triangles into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Classify by Sides

    Classify triangles as equilateral, isosceles, or scalene based on the number of equal sides

  2. 2

    Classify by Angles

    Classify triangles as right-angled, acute, or obtuse based on their largest angle

  3. 3

    Dual Classification

    Describe triangles using both side and angle classifications together (e.g., 'right-angled isosceles')

Try these SEAG-style questions

Three free sample questions from our classify triangles course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

Ciara has a triangular tile with sides measuring 7 cm, 7 cm, and 10 cm. What type of triangle is this?

  • AScalene
  • BIsosceles
  • CEquilateral
  • DRight-angled
Show answer and explanation

Answer: B. Isosceles

Count the equal sides: - 7 cm and 7 cm are equal (2 sides) - 10 cm is different Exactly 2 equal sides = isosceles triangle

Stuck? Start here: Count how many sides have the same length.

Question 2Confidence builder

A triangular bracket has angles of 40 degrees, 50 degrees, and 90 degrees. What type of triangle is this?

  • AAcute
  • BRight-angled
  • CObtuse
  • DIsosceles
Show answer and explanation

Answer: B. Right-angled

The angles are 40, 50, and 90 degrees. The largest angle is 90 degrees. 90 degrees = right angle A triangle with a right angle is a right-angled triangle.

Stuck? Start here: Look at all three angles: 40, 50, and 90 degrees.

Question 3Confidence builder

A triangle has sides 5 cm, 5 cm, and 5 cm. All angles are 60 degrees. Give the full classification of this triangle.

  • AAcute equilateral
  • BRight-angled equilateral
  • CObtuse isosceles
  • DAcute scalene
Show answer and explanation

Answer: A. Acute equilateral

Classify by sides: - 5 cm, 5 cm, 5 cm = all equal = equilateral Classify by angles: - 60, 60, 60 = all less than 90 = acute Full classification: acute equilateral

Stuck? Start here: First classify by sides: How many equal sides? (5, 5, 5)

Try the lesson: Classify by Sides

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Niamh is sorting triangular tiles for an art project. One tile has sides measuring 5 cm, 5 cm, and 8 cm.

What type of triangle is this tile?

5 cm, 5 cm, 8 cm

Count the equal sides
1

Look at the three side lengths: 5 cm, 5 cm, and 8 cm

Step 1 of 5

Prefer to read? See every step written out

Niamh is sorting triangular tiles for an art project. One tile has sides measuring 5 cm, 5 cm, and 8 cm.

What type of triangle is this tile?

  1. 1

    Count the equal sides

    • Look at the three side lengths: 5 cm, 5 cm, and 8 cm
    • Two sides are equal (both 5 cm)
  2. 2

    Match to triangle type

    • 3 equal sides = equilateral
    • 2 equal sides = isosceles
    • This triangle has exactly 2 equal sides

The tile is an isosceles triangle because it has exactly 2 equal sides.

The key insight: Count the matching sides: 3 equal = equilateral, 2 equal = isosceles, 0 equal = scalene!

Watch out: Calling it equilateral because two sides match. Equilateral means ALL three sides are equal, not just two.

Mistakes to watch for

These are the misconceptions we see most often in classify triangles, including the ones our practice questions are specifically designed to catch.

  • Thinking isosceles must have exactly 2 equal sides (equilateral is also isosceles)
  • Not recognising right-angled triangles in different orientations
  • Confusing acute and obtuse

Build these skills first

Struggling with classify triangles? The real gap is often in one of these earlier topics.

More shape and space practice

24 questions on this topic alone

Master classify triangles and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.