Question

find the area of an equilateral triangle having the length of a side equals 10 cm.​

Answer 1

Answer:

25√3 cm²

Step-by-step explanation:

Given : Side of equilateral triangle = 10 cm

To Find : Area of equilateral triangle

Solution : As we know that,

Area of equilateral triangle =${\sf{\dfrac{ {\sqrt{3}} }{4}} × {(side)}^{2}}$

Substituting the given value of side in the above formula, we get

→ $\dfrac{ \sqrt{3} }{4} \times {(10)}^{2}$

→ $\dfrac{ \sqrt{3} }{4} \times 100$

→ √3 × 25

→ 25√3 cm²

• In equilateral triangle, all sides are equal and we can easily calculate the area by using a direct formula.
• There are two more types of triangle on the basis of equality of sides : Scalene and Isosceles.
• In Scalene triangle, all three sides are of different length.
• In Isosceles triangle, two sides are equal and one side is unequal.