The area of equilateral triangle is numerically equal to its perimeter, then its perimeter correct to 2 decimal places is 20.78 units
Question
The area of equilateral triangle is numerically equal to its perimeter, then its perimeter correct to 2 decimal places is 20.78 units
Solution
The problem states that the area of an equilateral triangle is numerically equal to its perimeter.
The formula for the area of an equilateral triangle is √3/4 * side^2 and the formula for the perimeter is 3 * side.
So, we can set up the equation as follows:
√3/4 * side^2 = 3 * side
Solving for side, we get side = 3 * 4/√3 = 12/√3 = 4√3.
So, the side of the triangle is 4√3 units.
The perimeter of the triangle is 3 * side = 3 * 4√3 = 12√3 units.
Using the approximation √3 ≈ 1.732, we find that the perimeter is approximately 12 * 1.732 = 20.78 units, rounded to two decimal places.
Similar Questions
If the perimeter of an equilateral triangle is 180 cm. Then its area will be:a. 900 cm2b. 900√3 cm2c. 300√3 cm2d. 600√3 cm2
The perimeter of an equilateral triangle is 60 m. The area of the triangleis
The area of an equilateral triangle is equal to the area of a square with diagonal 20cm . The side of the triangle is
If the perimeter of an equilateral triangle is 60 cm, then what is its area? a. 200√2cm2 b. 100√2cm2 c. 100√3cm2 d. 200√3cm2
An equilateral triangle and a circle M are inscribed in a circle K, as shown in the figure below.What is the ratio of the area of K to the area of M?Reminder: The area of a circle with radius r is proportional to r2.a. 4:1b. 8:1c. 10:1d. 12:1e. 14:1f. 16:1g. 20:1Question subject is Geometry.Your answer was: 16:1You answered this question correctly! (+5 points)23.38% of students answered this question correctly.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.