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Find the area of a triangle with base 12 cm and height 10 cm.
60 sq cm
120 sq cm
30 sq cm
40 sq cm
60 sq cm
The area of a triangle is calculated by multiplying its base by its height and dividing the product by two. Substituting the given values, we get 21тАЛ ├Ч12├Ч10=60┬аsq┬аcm.
The area of a triangle is calculated by multiplying its base by its height and dividing the product by two. Substituting the given values, we get 21тАЛ ├Ч12├Ч10=60┬аsq┬аcm.
Imagine cutting a rectangular cake diagonally from one corner to the opposite corner; each resulting triangular slice takes up precisely half of the total cake surface.
Base times height, cut in two, gives the area meant for you!
Area=21тАЛ├Чb├Чh тАФ Formula for the area of a triangle given base and height
Multiplying the base by the perpendicular height yields the area of a enclosing rectangle or parallelogram; dividing this value by two accounts for the fact that a triangle occupies exactly half of that enclosing geometric space.
The height must always be the perpendicular distance (altitude) from the base to the opposite vertex.
Area is expressed in square units because it measures a two-dimensional surface space.
Direct and straightforward calculation when base and height are known.
Requires knowing the perpendicular height, which may sometimes need to be calculated via Pythagoras theorem if only side lengths are given.
Land surveying and civil engineering for plotting land parcels
Computer graphics and 3D modeling using triangle meshes
Option B (120 sq cm) represents the area of a parallelogram with the same base and height.
Option C (30 sq cm) is half of the correct area, likely representing a failure to multiply correctly or a misapplied divisor.
A is correct тАФ The area of the triangle is calculated as 21тАЛ ├Ч12├Ч10=60┬аsq┬аcm.
Always ensure the height used is perpendicular to the base, as using a slanted side length instead of the altitude is a common trap in geometry problems.
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