Topic Details (Notes format)

How to Classify Triangles by Sides and Angles

Subject: Mathematics

Book: Maths Mastery

Triangles can be classified by sides—equilateral (all sides equal), isosceles (two equal sides), scalene (all sides different)—or by angles—acute (all angles < 90°), right (one angle = 90°), obtuse (one angle > 90°). For example, a triangle with side lengths 3, 3, 5 is isosceles, while one with angles 30°, 60°, 90° is right-angled. Such classifications underlie geometry proofs and real-world designs like roof trusses, bridging shape fundamentals with practical engineering. Identifying the triangle type sets the stage for using the right formulas or theorems to solve deeper geometric questions.

Practice Questions

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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How many diagonals does a pentagon have?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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What is the HCF of 48 and 180?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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The LCM of 12 and 15 is:

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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What is the HCF of 72 and 120?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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