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

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

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

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A train 150 m long passes a pole in 15 seconds. What is its speed?

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What is the HCF of 72 and 120?

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If the radius of a circle is 7 cm, what is its circumference?

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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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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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A triangle has angles 60°, 60°, and 60°. 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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