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What size is the angle that you can find three times in an equilateral triangle?
Wiki User
∙ 12y ago
60 degrees
Wiki User
∙ 12y ago
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Could a right triangle ever be an equilateral triangle?
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.
What will be the perimeter of an equilateral triangle inscribed in a circle of area154 sq.cm?
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
If the vertex angle is three times a base angle What are the angles of an isosceles triangle?
108+36+36 = 180 degrees
What is the lateral area of the right equilateral triangle prism?
It is the perimeter of a triangle times the length of the prism (in square units).
What is the formula to find the area to an equilateral triangle?
Base times height and divided by 2.
Could a right triangle ever be an equilateral triangle?
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.
What is the ratio of the length of a side of an equilateral triangle to its perimeter?
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.
Can the measure of an angle in an equilateral triangle be anything other than 60 degrees?
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
What will be the perimeter of an equilateral triangle inscribed in a circle of area154 sq.cm?
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
If the vertex angle is three times a base angle What are the angles of an isosceles triangle?
108+36+36 = 180 degrees
What will be the area of an equilateral triangle if all it's sides are tripled?
It will be 9 times as large. And that will be true for any plane shape, not just an equilateral triangle.
In triangle ABC angle B is three times angle A and angle angle C is one degree less than six times angle A find the angles?
A = 18.1 degrees B = 54.3 degrees C = 107.6 degrees
What is the perimeter of an equilateral triangle?
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.
What is the lateral area of the right equilateral triangle prism?
It is the perimeter of a triangle times the length of the prism (in square units).
What type of triangle has two equal sides and a right angle?
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..
What is the perimeter of an equilateral triangle with 3 cm?
it is a equilateral triangle and 3cm each side base times high divided by 2 so........... 3x3=9 divided by 2= 4.5 cm
What is the formula to find the area to an equilateral triangle?
Base times height and divided by 2.
