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

What is the sum of all even numbers between 1 and 100?

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If the probability of an event is 1/4, what is the probability of its complement?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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If the length of a rectangle is doubled and the width is halved, what is the change in area?

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What is the LCM of 15 and 20?

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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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The LCM of 12 and 15 is:

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What is the HCF of 48 and 180?

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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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