Find the area of an equilateral triangle, each of whose sides measures 12 cm.
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
Important Questions from Geometry
If the angles of a triangle are in the ratio of 2:3:4, then the difference of the measure of greatest angle and smallest angle is
In ΔABC, ∠A = 90°, AD ┴ BC and AD = BD = 2 cm. The length of CD is
How many lines of symmetry does a rectangle have?
The number of diagonals in each face a cube is
Which of the following is/are the geometric figures with the line of symmetry?
I. Rectangle
II. Isosceles triangle
