Question
Find the area of an equilateral triangle, each of whose sides measures 12 cm.
The correct answer is
36√3 cm2
To find the area of an equilateral triangle, we can use the standard area formula specifically for equilateral triangles:
Area = (√3 / 4) × s²
where s is the length of a side.
Step-by-Step Calculation
Identify the given value:
The side of the triangle (s) = 12 cm
Substitute the value into the formula:
Area = (√3 / 4) × (12)²
Simplify the square:
Area = (√3 / 4) × 144
Divide 144 by 4:
Area = 36√3 cm²
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Important Questions from Geometry
- ABCD is a trapezium in which BC || AD and AC = CD. If $\angle ABC = 24^\circ$ and $\angle BAC = 112^\circ$, then what is the measure of $\angle ACD$ (in degree)?
- ABCD is a trapezium in which BC || AD and AC = CD. If $\angle ABC = 20^{\circ}$ and $\angle BAC = 131^{\circ}$, then what is the measure of $\angle ACD$ (in degree)?
ABCD is a quadrilateral in which AB || DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 12 cm, BC = 40 cm, DC = 30 cm, and AD = 45 cm, then what is the length (in cm) of EF?
- A regular polygon has 30 sides. Find the measure of one interior angle.
- ABCD is a trapezium in which BC $||$ AD and AC = CD. If $\angle ABC = 19^{\circ}$ and $\angle BAC = 137^{\circ}$, then what is the measure of $\angle ACD$ (in degree)?
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