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The area of a triangle with base 12 cm and height 8 cm is:
48 cm²
96 cm²
24 cm²
40 cm²
48 cm²
The area of a triangle is calculated as half the product of its base and its corresponding perpendicular height. Using the given values, the area is evaluated as A=21×12×8=48 cm2.
The area of a triangle is calculated as half the product of its base and its corresponding perpendicular height. Using the given values, the area is evaluated as A=21×12×8=48 cm2.
Imagine cutting a rectangular greeting card diagonally from one corner to the opposite corner; the two resulting triangular pieces each take up exactly half of the total card's area.
A=21×b×h — Area of a triangle given base (b) and height (h)
A triangle can be geometrically visualized as exactly half of a parallelogram or rectangle sharing the same base and perpendicular height. Multiplying the base by the height gives the total area of that bounding rectangle, and dividing by two accounts for the diagonal split into two congruent triangles.
The height must always be the perpendicular distance from the base to the opposite vertex.
Area dimensions are always expressed in square units, such as cm2.
Land surveying and plot division
Structural engineering and architectural roof design
Option B (96 cm2) is the product of base and height without halving it (representing a rectangle's area).
Option C (24 cm2) results from dividing by two twice or using incorrect side lengths.
A is correct — The area of the triangle is 21×12×8=48 cm2.
Always ensure the height used is perpendicular to the base; slant heights should not be used directly in the standard base-height formula.
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