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

A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

View Question

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

View Question

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

View Question

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

View Question

What is the square root of 144?

View Question

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

View Question

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

View Question

If x^2 - 6x + 9 = 0, what is the value of x?

View Question

If two complementary angles differ by 30°, what are the angles?

View Question

If x² - 9x + 18 = 0, what are the roots of the equation?

View Question