Question

Find the area of an equilateral triangle of each side 2a units.​

Answer 1

Answer:

√3 a²

Step-by-step explanation:

for a normal triangle area is 1/2 * base * height

similarly for a right angled triangle all sides are a units, base is also a units

then by drawing a perpendicular line from any one of the vertices to opposite side it acts as height as well as there will form a right angle triangle.

here pythogoras theorem will be applied to find height hence

height = √(a²-(a/2)²)

=√(3a²/4) =√3 a/2

area = 1/2 * a * √3 a/2 =√3 a²/4

then √3 (2a)²/4= √3 4a²/4 = √3 a²