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Triangles Quiz - CBSE Class 6 Mathematics

Free practice quiz: Triangles (CBSE Class 6 Mathematics). 10 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 6 Mathematics practice quiz has 10 multiple-choice questions on Triangles, and 10 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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Angle sum of a triangle

  • A triangle is a closed shape with sides a, b, c and corners A, B, C.
  • Its interior angles always add up to one straight angle, which equals two right angles.
  • To find a missing angle, subtract the known angles from a straight angle.
Angle sum rule
\[\angle A + \angle B + \angle C = \text{one straight angle}\]
Missing angle
\[\angle C = \text{straight angle} - (\angle A + \angle B)\]

Common mistake: Subtracting only one known angle from the straight angle and forgetting to subtract the other one.

Types of triangles

  • By sides: scalene has no equal sides, isosceles has two equal sides, equilateral has all sides equal.
  • By angles: acute has all angles acute, right has one right angle, obtuse has one obtuse angle.
  • An equilateral triangle also has all its angles equal.
Equilateral
\[a = b = c \Rightarrow \angle A = \angle B = \angle C\]
Isosceles
\[a = b \neq c\]
Scalene
\[a \neq b,\; b \neq c,\; a \neq c\]

Common mistake: Calling a shape like a square or rectangle a type of triangle. Those are quadrilaterals, not triangles.

Checking for a right triangle

  • Take the longest side c and the other two sides a and b.
  • If c squared equals a squared plus b squared, the triangle has a right angle.
Right triangle test
\[c^2 = a^2 + b^2\]

Common mistake: Choosing a shorter side as c. The side c must always be the longest side.

Area using base and height

  • The height is the perpendicular distance from the base to the opposite corner.
  • Area is half of base times height, written in square units like cm^2.
Area of triangle
\[\text{Area} = \frac{1}{2} \times b \times h\]

Common mistake: Forgetting to take half of base times height, or using a slanted side instead of the perpendicular height.

Heron's formula for area

  • Use it when all the side lengths a, b, c are known but the height is not.
  • First find s, the semi-perimeter, which is half the sum of all the sides.
Semi-perimeter
\[s = \frac{a + b + c}{2}\]
Heron's formula
\[\text{Area} = \sqrt{s(s-a)(s-b)(s-c)}\]

Common mistake: Using the full perimeter instead of half of it for s, which gives a wrong area.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. What is the sum of the angles in a triangle?

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    Answer: B. 180 degrees

    In any triangle, the sum of the interior angles always equals 180 degrees.

  2. How many sides does a triangle have?

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    Answer: B. 3

    A triangle is defined as a polygon with three edges and three vertices.

  3. A triangle has sides of lengths 3 cm, 4 cm, and 5 cm. What type of triangle is this?

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    Answer: D. Right

    This triangle follows the Pythagorean theorem (3^2 + 4^2 = 5^2), which means it's a right triangle.

  4. A triangle has two equal sides of length 6 cm. If the base is 8 cm, what is its type?

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    Answer: B. Isosceles

    Since two sides are equal in length, this triangle is classified as isosceles.

  5. Calculate the area of a triangle with a base of 12 cm and a height of 10 cm.

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    Answer: A. 60 cm²

    The area is found using the formula: (base × height) / 2 = (12 × 10) / 2 = 60 cm².

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. If a triangle has angles of 60 degrees and 30 degrees, what is the measure of the third angle?
  2. Which of the following is NOT a type of triangle?
  3. If the base of a triangle is 10 cm and the height is 5 cm, what is the area?
  4. What is the measure of each angle in an equilateral triangle?
  5. A triangle has sides measuring 7 cm, 8 cm, and 9 cm. Use Heron's formula to find the area.

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