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The base and height of a triangle are 12 cm and 16 cm respectively. The area of the triangle is:
96 cm²
48 cm²
192 cm²
144 cm²
96 cm²
The area of a triangle is calculated as half the product of its base and height. Substituting the given base of 12 cm and height of 16 cm into the formula yields 96 cm².
The area of a triangle is calculated as half the product of its base and height. Substituting the given base of 12 cm and height of 16 cm into the formula yields 96 cm².
Imagine cutting a rectangular sheet of paper of dimensions 12 cm by 16 cm diagonally into two identical right-angled triangles; the area of one triangle will be exactly half the total area of the rectangle.
Half of Base times Height makes a triangle right!
Area=21×base×height — Area of a triangle
Area=21×12×16=96 cm2 — Calculation for this specific problem
The geometric formula for the area of a triangle comes from completing a rectangle or parallelogram of the same base and height, where the triangle takes up exactly half of the total area. Multiplying the base by the height gives the area of the enclosing rectangle, and dividing by two accounts for the triangular halves.
The base and height must be perpendicular to each other for this formula to apply directly.
The unit for area is always square units, such as cm2.
Direct and quick calculation method when base and height are known.
Requires knowledge of the perpendicular height, which may need prior trigonometric or Pythagorean calculation if not given directly.
Calculating land areas divided into triangular plots.
Engineering design and finite element analysis in structural mechanics.
Option A (96 cm²) is correct because 21×12×16=96.
Option B (48 cm²) represents half of the correct area, likely due to forgetting to multiply by the base or height properly.
Option C (192 cm²) represents the area of the full rectangle (12×16) without dividing by 2.
Option D (144 cm²) is an incorrect calculation distracter.
A is correct — The area of the triangle is 96 cm² as calculated using the standard geometric formula.
Always verify whether the given height is perpendicular to the selected base before applying the area formula in competitive geometry problems.
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