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The base and height of a triangle are 14 cm and 10 cm. The area is:
70 cm²
140 cm²
35 cm²
40 cm²
70 cm²
The area of a triangle is determined by taking half of the product of its base and its corresponding perpendicular height. Using the given values, the area is calculated as 21×14×10=70 cm2.
The area of a triangle is determined by taking half of the product of its base and its corresponding perpendicular height. Using the given values, the area is calculated as 21×14×10=70 cm2.
Think of slicing a rectangular card diagonally from one corner to the opposite corner, resulting in two identical triangles that each occupy half the rectangle's total surface.
Area=21×b×h — Area of a triangle given base (b) and height (h)
Geometrically, any triangle can be viewed as half of a parallelogram with the same base and height. Dividing the total parallelogram area (b×h) by two yields the standard formula for the area of a triangle.
The height must be perpendicular to the chosen base.
Area dimensions are always expressed in square units such as cm2.
Offers a straightforward calculation method when base and height measurements are readily available.
Requires knowing the perpendicular height, which may need extra geometric steps if only side lengths are provided.
Land surveying and civil engineering
Architectural floor planning and structural analysis
Option B (140 cm2) represents the complete parallelogram area without dividing by two.
Option C (35 cm2) is a calculation error resulting from incorrect scaling or halving twice.
A is correct — The area of the triangle is 70 cm2 calculated using the standard half-base-times-height formula.
Always verify that your height measurement is strictly perpendicular to the base before applying the area formula.
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