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

If x^2 + 4x + 4 = 0, what is the value of x?

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If 2x - 3 = 7, what is the value of x?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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If 5x - 2 = 13, what is the value of x?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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What is the greatest common divisor (GCD) of 36 and 48?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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