Question

8
The perimeter of an equilateral triangle is 60 m . The area is.
(a) 1073
(b) 1513
(c)2013
(d)100V3​

Answer 1

Answer:

(d) Let each side of an equilateral be x.

Then, perimeter of an equilateral triangle = 60 m

x + x + x = 60 ⇒ 3x = 60 ⇒ x = 60/3 = 20 m

Area of an equilateral triangle = √3/4 (Side)2 = (√3/4) x 20 x 20 = 100 √3 m2

Thus, the area of triangle is 100√3 m2.

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Answer 2

Answer:

173.21 square m

Step-by-step explanation:

Perimeter of equilateral triangle = 3 x Side

                                                      = 60 m

Side of equilateral triangle = Perimeter/3

                                            = 60 m/3

                                            = 20 m

Area of equilateral triangle = √3s2/4

                                             = √320 x 2/4

                                             = √340/4

                                             = 173.21 square m (answer)