7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm
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Step-by-step explanation:
7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3 sqcm7) If the perimeter of an equilateral triangle is 60 cm, then what is its area? * 1 point a) 200√2 sqcm b) 100√2 sqcm c) 100√3 sqcm d) 200√3
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Answer:
Let the side of the equilateral triangle be a cm.
Then,
Perimeter=60
a+a+a=60
3a=60
a=60/3=20 cm
Area of equilateral triangle=√3/4*(side)²
=√3/4*20*20
=√3/4*400
=100√3 sq.cm