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
ABCDEF is a regular hexagon. Side of the hexagon is 36 cm. What is the area of the triangle AOB ?
If ∆ABC ~ ∆DEF, and BC = 4 cm, EF = 5 cm and the area of triangle ABC = 80 cm 2, then the area of the triangle DEF is:
If Δ ABC is right angled at B, AB = 12 cm and ∠CAB = 60°, determine the length of BC.
If ΔABC and ΔDEF are congruent triangles, then which of the following is FALSE?
D and E are points on the sides AB and AC, respectively, of ΔABC such that DE is parallel to BC and AD ∶ DB = 7 ∶ 9. If CD and BE intersect each other at F. then find the ratio of areas of ΔDEF and ΔCBF.
