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.
If the radius of a circle is doubled, what happens to its area?
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionWhat is the sum of all even numbers between 1 and 50?
View QuestionWhat is the sum of the first 20 odd numbers?
View QuestionIf sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionHow many diagonals does a pentagon have?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionThe area of an equilateral triangle with side length 6 cm is:
View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
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