The area of an equilateral triangle is 173cm
2
. The perimeter of the equilateral triangle is: (use
3
=1.73)
- A40cm
- B60cm
- C100cm
- D20cm
Solution & Step-by-step Explanation
The formula for the area of an equilateral triangle with side a is:
Area=
4
3
a
2
Given that the area is 173cm
2
:
4
3
a
2
=173
Substitute
3
=1.73:
4
1.73
a
2
=173
a
2
=
1.73
173×4
a
2
=100×4
a
2
=400
a=
400
=20cm
The perimeter of an equilateral triangle is 3a:
Perimeter=3×20=60cm
Area=
4
3
a
2
Given that the area is 173cm
2
:
4
3
a
2
=173
Substitute
3
=1.73:
4
1.73
a
2
=173
a
2
=
1.73
173×4
a
2
=100×4
a
2
=400
a=
400
=20cm
The perimeter of an equilateral triangle is 3a:
Perimeter=3×20=60cm