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How do you calculate the length of the sides of an equilateral triangle given only the area?
The area of an equilateral triangle is A=sqrt(3)*(l^2)/4, l is the length and A is the area multiply both sides by 4/sqrt(3) and get 4*A/sqrt(3)=l^2 take the square root of both sides and get l = sqrt(4*A/sqrt(3))
Find the area of an equilateral triangle with altitude h cm?
The altitude of an equilateral triangle bisects the base. So, if the sides of the triangle were l cm, the altitude forms a right angled triangle with sides h, l/2 and hypotenuse l cm. Then, by Pythagoras, h2 = 3l2 / 4 so that h = l*sqrt(3)/2 and then area = l*h/2 = l*[l*sqrt(3)/2]/2 =l2*sqrt(3)/4
How many degrees in an equilateral l triangle?
180 degrees in any plane triangle.
How many equal sides does an equilateral l triangle have?
Three
Parameter of rectangle equal parameter of triangle?
I hope you want to know the Perimeter. Perimeter is the total length of the boundary of the region bounded by a shape. For a rectangle it is the sum of the 4 bounding sides, or 2*(L+B), where L is Length of the rectangle and B is Breadth of the rectangle. For a Triangle it is the sum of the 3 sides. If you consider an equilateral triangle. By property the 3 sides of an equilateral triangle are equal. Hence the Perimeter of an equilateral triangle is denoted as; 3*a, where a is the length of one of the sides of the triangle. It is possible that the perimeter of a rectangle is same as that of many different types of triangles. We can formulate a relationship for a special case where the perimeter of a rectangle is equal to the perimeter of an equilateral triangle; P(R) = P(ET), P(R) is perimeter of rectangle and P(EQ) is perimeter of Equilateral triangle. P(R)=2(L*B) = P(EQ) = 3*a; hence, a = (2/3)*(L*B) = P(R)/3. i.e., the sides of the Equilateral triangle are one thirds of the perimeter of the rectangle.
How do you calculate the length of the sides of an equilateral triangle given only the area?
The area of an equilateral triangle is A=sqrt(3)*(l^2)/4, l is the length and A is the area multiply both sides by 4/sqrt(3) and get 4*A/sqrt(3)=l^2 take the square root of both sides and get l = sqrt(4*A/sqrt(3))
Find the area of an equilateral triangle with altitude h cm?
The altitude of an equilateral triangle bisects the base. So, if the sides of the triangle were l cm, the altitude forms a right angled triangle with sides h, l/2 and hypotenuse l cm. Then, by Pythagoras, h2 = 3l2 / 4 so that h = l*sqrt(3)/2 and then area = l*h/2 = l*[l*sqrt(3)/2]/2 =l2*sqrt(3)/4
How do you find the area of an equilalateraltriangle?
Area of Equilateral Triangle = (Sqrt(3) / 4) * l². So if the length of the triangle is 3, it would be Area = (Sqrt(3) / 4) * l² = (1.73 / 4) * 3² = 0.43 * 9 = 3.87.
How many degrees in an equilateral l triangle?
180 degrees in any plane triangle.
How many equal sides does an equilateral l triangle have?
Three
How do l work out the area of a the perimeter of a triangle?
add up the length of all the sides
Parameter of rectangle equal parameter of triangle?
I hope you want to know the Perimeter. Perimeter is the total length of the boundary of the region bounded by a shape. For a rectangle it is the sum of the 4 bounding sides, or 2*(L+B), where L is Length of the rectangle and B is Breadth of the rectangle. For a Triangle it is the sum of the 3 sides. If you consider an equilateral triangle. By property the 3 sides of an equilateral triangle are equal. Hence the Perimeter of an equilateral triangle is denoted as; 3*a, where a is the length of one of the sides of the triangle. It is possible that the perimeter of a rectangle is same as that of many different types of triangles. We can formulate a relationship for a special case where the perimeter of a rectangle is equal to the perimeter of an equilateral triangle; P(R) = P(ET), P(R) is perimeter of rectangle and P(EQ) is perimeter of Equilateral triangle. P(R)=2(L*B) = P(EQ) = 3*a; hence, a = (2/3)*(L*B) = P(R)/3. i.e., the sides of the Equilateral triangle are one thirds of the perimeter of the rectangle.
Can you prove that area formula of hexagon?
Assume regular hexagon of side L. Split the hexagon into 6 equilateral triangles. (A sketch would help here) You need to find the height of the triangle to find it's area. Split the triangle in half with a vertical line. You now have 2 right angle triangles of base L/2 height h. Top angle 30 degrees, bottom angle 60 degrees. L/(2h) = tan 30 h = L/(2tan 30) h = root 3 L/2 Area of 1 equilateral triangle = 1/2 x L x h = (root 3 x L2)/4 Area of hexagon = 6x(root 3 x L2)/4 Area of hexagon = 3x(root 3 x L2)/2
How do l work out the area of a triangle?
A right triangle is easy, simply multiply the two sides and divide by two. A non-right triangle is a bit more of a challenge. You have to make it a right triangle by adding a right triangle to it. Calculate and then subtract the area of what you had to add.
An equilateral triangle has an area of 100 cm2 What is the length of a side?
Oh, isn't that a happy little question! To find the length of a side of an equilateral triangle with an area of 100 cm², we can use the formula for the area of an equilateral triangle: Area = (√3 / 4) x side length squared. By plugging in the area of 100 cm², we can solve for the side length, which will be approximately 11.55 cm. Just remember, there are no mistakes in math, only happy little accidents!
What is the area of a hexagon with side length 6 cm?
You can solve this by thinking of the hexagon as being six equilateral triangles, much like pie slices. If the side length of the hexagon is 6cm, then each of those three equilateral triangles has a side length of 6cm. All you need to do then, is get the area of one of those triangles, and multiply it by six.To get the area of the triangle, break it into two equilateral triangles to get it's height. That gives you a height we'll call h, a width of 3, and a hypotenuse of 6, so we can work out the height using the Pythagorean theorem:h = (62 - 32)1/2h = (36 - 9)1/2h = √27h = 3√3Now take that height, multiply by it's base, and divide by two, which will give you the area of the triangle:at = 3√3 × 6 / 2at = 9√3We already know that the hexagon is six times the area of the triangle, so now we can work out our final answer:a = 6ata = 6 × 9√3a = 54√3You can make this method generic, substituting a variable for the number 6 and simplifying the expression. Start by assembling these parts into a single expression, using "L" instead of 6:The height of our equilateral triangle is:(L2 - [L / 2]2)1/2= (L2 - L2 / 4)1/2= (3L2 / 4)1/2= (3L2)1/2 / 2= √3 × L / 2The area of our equilateral triangle is half of that height multiplied by L, it's width:L × (√3 × L / 2) / 2= L2√3 / 4And so the total area of our hexagon will be six times that:A = 6(L2√3 / 4)A = (3√3)/2 × L2
Area of Triangle?
L × b ( length × breadth )
