No, never. There's more than one way to get at it: -- The angles of an equilateral triangle are all equal. Since the interior angles of any triangle always add up to 180 degrees, the angles of an equilateral triangle are each 60 degrees. There's no right angle. -- A right triangle is a triangle with an interior right angle. An equilateral triangle has three equal angles. If it were a right triangle, each angle would be a right angle. Then: -- the three interior angles would add up to 270 degrees, which is impossible in a triangle; and -- two sides would be parallel to each other, they would never meet, and there could be no triangle. -- The sides of a right triangle satisfy the Pythagorean equation: A2 + B2 = C2. If all three sides were equal, then you'd have (two times the square of a number) equal to (the square of the same number), which isn't possible. -- Remember that the 'hypotenuse' of a right triangle is the longest side. But an equilateral triangle can't have a 'longest' side.NOA right triangle always has a 90 degree angle and an equilateral triangle always has three 60 degree angles, so no.
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
108+36+36 = 180 degrees
It is the perimeter of a triangle times the length of the prism (in square units).
Base times height and divided by 2.
No, never. There's more than one way to get at it: -- The angles of an equilateral triangle are all equal. Since the interior angles of any triangle always add up to 180 degrees, the angles of an equilateral triangle are each 60 degrees. There's no right angle. -- A right triangle is a triangle with an interior right angle. An equilateral triangle has three equal angles. If it were a right triangle, each angle would be a right angle. Then: -- the three interior angles would add up to 270 degrees, which is impossible in a triangle; and -- two sides would be parallel to each other, they would never meet, and there could be no triangle. -- The sides of a right triangle satisfy the Pythagorean equation: A2 + B2 = C2. If all three sides were equal, then you'd have (two times the square of a number) equal to (the square of the same number), which isn't possible. -- Remember that the 'hypotenuse' of a right triangle is the longest side. But an equilateral triangle can't have a 'longest' side.NOA right triangle always has a 90 degree angle and an equilateral triangle always has three 60 degree angles, so no.
Length of a side of an equilateral triangle : Perimeter = 1 : 3 For example, if the length of the sides of an equilateral triangle were 5cm each, then perimeter would be three times that much - 15cm. 5 : 15 is the same as 1 : 3 when simplified. Length of a side of an equilateral triangle : Perimeter = 1 : 3 For example, if the length of the sides of an equilateral triangle were 5cm each, then perimeter would be three times that much - 15cm. 5 : 15 is the same as 1 : 3 when simplified.
No, 60 times 3 = 180. Equilateral triangles have to have equal angles and equal sides. All triangle angles add up to be 180 degrees, so therefore, NO
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
108+36+36 = 180 degrees
It will be 9 times as large. And that will be true for any plane shape, not just an equilateral triangle.
A = 18.1 degrees B = 54.3 degrees C = 107.6 degrees
It is the sum of the lengths of the three sides. However, since all three sides are of the same length, the perimeter equals three times the length of any one side.
It is the perimeter of a triangle times the length of the prism (in square units).
An Isosceles right triangle. If the length of either of the two sides is N then the hypotenuse is N times the square root of 2. an isosceles right triangle can not be an equilateral triangle since the hypotenuse can not be the same size as the other two sides..
it is a equilateral triangle and 3cm each side base times high divided by 2 so........... 3x3=9 divided by 2= 4.5 cm
Base times height and divided by 2.