Topic Details (Notes format)

How to Calculate the Area of a Triangle

Subject: Mathematics

Book: Maths Mastery

A triangle’s area can be found via the formula A = (1/2) × base × height. For instance, if the base is 10 cm and the height is 6 cm, the area is 1/2 × 10 × 6 = 30 cm². In more advanced contexts, Heron’s formula calculates area using side lengths: A = √[s(s – a)(s – b)(s – c)], where s = (a + b + c)/2 is the semi-perimeter. Triangular area computations show up in land surveys, building designs, and everyday geometry tasks like calculating fabric for triangular patterns. Familiarity with these formulas expands your capacity to handle diverse shape-related challenges.

Practice Questions

If 2x - 3 = 7, 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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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If 8x = 512, what is the value of x?

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What is the sum of all odd numbers from 1 to 99?

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

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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