Question

find the area of equilateral triangle by herons's formula whose side is√3​
plss no irrelevant answers

Answer 1

Answer:

the area of equilateral triangle by herons's formula = 9/2 cm^2

Step-by-step explanation:

Heron's Formula = √ [ s (s-a) (s-b) (s-c) ]

Since, a = b = c = √3

Therefore, s = (a+b+c)÷2 = (√3+√3+√3)÷2 = 3√3/2

So, area of the equilateral triangle by heron's formula = √ [ 3√3/2 × 3 × { (3√3/2)-3√3 } ]

=> area = √ [ 3√3/2 × 3 × (3√3-6√3)/2 ]

=> area = √ [ 3√3/2 × 3 × (-3√3/2) ]

=> area = √ [ (-3) × (3√3/2 × 3√3/2) ]

=> area = √ [ (-3) × 27/4 ]

=> area = √ (-81/4)

=> area = 9/2 cm^2

Hope it helps u !!!!!!!!!

Please mark my answer as the BRAINLIEST.

Answer 2

Answer:

9/2 cm^2

Step-by-step explanation:

Heron's formula = root s(s-a)(s-b)(s-c)