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Express the area and perimeter of an equilateral triangle as a function of the triangle's side length x?
Wiki User
∙ 15y ago
perimeter = 3x Area = x^2 * sqrt(3)/4 Explanation of area: You can divide an equilateral triangle into 2 right triangles, each with a common side we will call y. Area = area of first right triangle + area of second right triangle = (x/2)*y/2 + (x/2)*y/2 = xy/2 Now: y^2 + (x/2)^2 = x^2 so y^2 = x^2 - x^2/4 so y= sqrt(3)x/2 Area = [sqrt(3)x/2] x [x/2] Area = x2 sqrt (3)/ 4
Wiki User
∙ 15y ago
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How many distinct equilateral triangles with a perimeter of 60 units have integer side lengths?
There is only one equilateral triangle with a perimeter of 60 units. Its side lengths are integers.
Perimeter of equilateral triangle?
180
What is the area of an equilateral triangle that has a perimeter of 71 feet?
Find the area of an equilateral triangle if its perimeter is 18 ft
What 4 identical shapes make triangle?
Four equilateral triangles make up another equilateral triangle.
Does Triangle has three equal sides?
Not all. Only equilateral triangles have. Equilateral triangles have equal sides and 60 degrees on each corner of the triangle. Other triangle need not have equal sides.
How many 1 inch triangles are needed to make a row of triangles that has a perimeter of 20 inches?
If a "1 inch triangle" means a triangle each of whose sides is 1 inch, then there is no answer to the question. These are equilateral triangles and equilateral triangles can tesselate to form a larger equilateral triangle. The fact that the large triangle is equilateral means that its three sides are equal so that its perimeter ie the sum of the three sides must be divisible by 3. 20 is not divisible by 3.
How many distinct equilateral triangles with a perimeter of 60 units have integer side lengths?
There is only one equilateral triangle with a perimeter of 60 units. Its side lengths are integers.
Are equilateral triangle are acute?
Yes all equilateral triangles are acute triangles, but not all acute triangle are equilateral triangles.
What is the perimeter of an equilateral triangle with an altitude of 15?
An equilateral triangle has 3 equal interior angles each of 60 degrees. There are two right angled triangles in an equilateral triangle. So we can use trigonometry to find the length of one side of the equilateral triangle then multiply this by 3 to find its perimeter. Hypotenuse (which is one side of the equilateral) = 15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423 Perimeter = 51.96152423 units.
Are All triangles equilateral triangles.?
No because a triangle is only an equilateral triangle when it has 3 equal sides.
Are all equilateral triangles acute triangles?
Yes all equilateral triangles are acute triangles, but not all acute triangle are equilateral triangles.
Are some right triangles have equilateral triangles?
No. For it to be equilateral it can't be a right triangle.
All isosceles triangles are also equilateral triangles?
No, all isosceles triangles are not equilateral triangles. An isosceles triangle is a triangle that has two sides of equal length. An equilateral triangle is a triangle that has all three sides of equal length. Therefore, it is possible for a triangle to be isosceles but not equilateral. For example, a triangle with sides of lengths 3, 3, and 4 is an isosceles triangle, but it is not an equilateral triangle because all its sides do not have the same length. On the other hand, all equilateral triangles are also isosceles triangles because they have two sides of equal length. My recommendation ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ᴅɪɢɪꜱᴛᴏʀᴇ24.ᴄᴏᴍ/ʀᴇᴅɪʀ/372576/ꜱᴀɪᴋɪʀᴀɴ21ᴍ/
What is the perimeter of an equilateral triangle that measures 15 feet on one side?
Equilateral triangles have all sides the same length, and to get the perimeter, you add all the side lengths. 15+15+15=45
What type of triangles has three side of equal length?
Equilateral triangle
Is an equilateral triangle equal to an isosceles triangle?
An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com
Are all isosceles triangles also equilateral triangles?
No, not at all, all isosceles triangles aren't equilateral since an equilateral triangle is a triangle with all of its sides equal, i.e. all sides of an equilateral triangle are equal, but in an isosceles triangle only two of its sides are equal.
