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

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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What is the square root of 0.25?

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If x^2 - 6x + 9 = 0, what is the value of x?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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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 LCM of 15 and 20?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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