There are three measurable angles within a triangle, and within a equilateral triangle there are thee equal angles, each measuring 60o .
The 3 interior angles of 60 degrees add up to 180 degrees
An equilateral triangle has three angles all of which much be the same(it is equiangular), so they are all 60. That means it has all acute angles.
The formula for area of a circle is Area=pi*radius2 you know the area of your circle so now find the radius. 154 = pi*r2 r = 7 cm if you can imagine the equilateral triangle in the circle imagine that the radius touches the exact center of this triangle and can extend to one of the three points on the triangle. (this next part would be so much easier if i could draw you a picture). now, if you remember that an equilateral triangle has three angles that each measure up to 60 degrees. if you take the radius of the circle and draw a line from the center of the triangle to the tip of the triangle you will actually cut on of the 60 degree angles in half. this would now make you have an angle 30 degrees. if you do this same thing to another point you will notice you actually have another triangle inside this triangle. since all triangle angles add up to 180 degrees you know all three angles of this new triangle. (note: this new triangle is not an equilateral triangle). so this new triangle has an angle 30 degrees, 30 degrees, and 120 degrees. you can now use the law of sines to find out the length of one side of the equilateral triangle. if you have drawn your picture correctly then you will see that one side of the new triangle actually shares one side of the equilateral triangle. if you look at your new triangle their is only one side that is known a known quantity. this side is the side that is shared with the equilateral triangle. use the law of sines to figure out the length of this side... 7 / sin(30) = x / sin(120) x = 12.12cm you now know that one side of the equlateral triangle is 12.12cm. since there is three sides to the triangle the total perimeter of the equilateral triange is 12.12 times 3 your answer for the perimeter of the equilateral triangle is 36.36cm
A triangle always has three sides, thus the name tri-angle (3 angles)
Every triangle has three angles that total 180o. In an equilateral triangle, there are three 60o angles.
There are three measurable angles within a triangle, and within a equilateral triangle there are thee equal angles, each measuring 60o .
The 3 interior angles of 60 degrees add up to 180 degrees
Total, the triangle has 180 degrees, and each angle has 60 degrees.
The sum of the angles in all triangles (right, isosceles, scalene, and equilateral) in the Euclidean plane is 180 degrees or pi.
There are four types of triangles. For an "equilateral triangle", all sides and angles have to be the same. For an "isosceles triangle", 2 of 3 sides and angles have to be the same. For a "scalene triangle", the "the same" rules don't apply. For a "right-angled triangle", one corner has to be a right angle (90 degrees.) For example in an equilateral triangle, as long as the sides are the same, they can add up to anything. However, angles are different. In any given triangle, the angles must add up to 180 degrees.
180 degrees. An equilateral triangle measures 60 degrees at every angle.
The sum of the angles of any triangle is 180 degrees.
An equilateral triangle has three angles all of which much be the same(it is equiangular), so they are all 60. That means it has all acute angles.
The formula for area of a circle is Area=pi*radius2 you know the area of your circle so now find the radius. 154 = pi*r2 r = 7 cm if you can imagine the equilateral triangle in the circle imagine that the radius touches the exact center of this triangle and can extend to one of the three points on the triangle. (this next part would be so much easier if i could draw you a picture). now, if you remember that an equilateral triangle has three angles that each measure up to 60 degrees. if you take the radius of the circle and draw a line from the center of the triangle to the tip of the triangle you will actually cut on of the 60 degree angles in half. this would now make you have an angle 30 degrees. if you do this same thing to another point you will notice you actually have another triangle inside this triangle. since all triangle angles add up to 180 degrees you know all three angles of this new triangle. (note: this new triangle is not an equilateral triangle). so this new triangle has an angle 30 degrees, 30 degrees, and 120 degrees. you can now use the law of sines to find out the length of one side of the equilateral triangle. if you have drawn your picture correctly then you will see that one side of the new triangle actually shares one side of the equilateral triangle. if you look at your new triangle their is only one side that is known a known quantity. this side is the side that is shared with the equilateral triangle. use the law of sines to figure out the length of this side... 7 / sin(30) = x / sin(120) x = 12.12cm you now know that one side of the equlateral triangle is 12.12cm. since there is three sides to the triangle the total perimeter of the equilateral triange is 12.12 times 3 your answer for the perimeter of the equilateral triangle is 36.36cm
A triangle always has three sides, thus the name tri-angle (3 angles)
Every triangle has 3 interior angles thar add up to 180 degrees