Find the area of equilateral triangle whose perimeter is 12m. [ by her

1.	Find the area of equilateral triangle whose perimeter is 12m. [ by herons formula ]
Answer» Answer: 4√3m Step-by-step EXPLANATION: Let the each side of the TRIANGLE be x. ATQ, x+x+x=12 3x=12 x= 12/3 x= 4 Thus, each side of the triangle is 4m. AREA of the triangle= √s(s-a)(s-b)(s-c) Where, s= a+b+c/2 = 4+4+4/2 =12/2 =6 By SUBSTITUTING the VALUES, √6(6-4)(6-4)(6-4) =√6×2×2×2 =√2×3×2×2×2 =2×2√3 =4√3m Therefore, the area of the triangle is 4√3m.

Find the area of equilateral triangle whose perimeter is 12m. [ by herons formula ]

Answer»

Answer:

4√3m

Step-by-step EXPLANATION:

Let the each side of the TRIANGLE be x.

ATQ,

x+x+x=12

3x=12

x= 12/3

x= 4

Thus, each side of the triangle is 4m.

AREA of the triangle= √s(s-a)(s-b)(s-c)

Where, s= a+b+c/2

= 4+4+4/2

=12/2

√6(6-4)(6-4)(6-4)

=√6×2×2×2

=√2×3×2×2×2

=2×2√3

=4√3m

Therefore, the area of the triangle is 4√3m.