The perimeter is the sum of all sides. An equilateral triangle has three sides of equal length. So if one side is 5 inches, and we have three of these, we get a perimeter of 15 inches.
The base is one third of the perimeter, half of the base times the height is the area.
It will be either isosceles or equilateral. It is equilateral if all of the angles are congruent.
In effect what you are asking is "does 5 + 5 + 5 = 6 + 6 + 3?" which of course it does. Is it the word perimeter that caused confusion?
Perimeter = Sum of the three sides i.e. a+b+c Area = 1/2bh or (bh)/2 "b" stands for base "h" stands for height
This is not an equilateral triangle if height is 4 m the base is 6 m and by Pythagorean theorem the other sides are 5 m perimeter is 6 + 5 + 5 = 16m Area = base x height = 6 x 4 = 24 sq m
The base is one third of the perimeter, half of the base times the height is the area.
4 inches x 3 sides = 12 inches for the perimeter.
it is a equilateral triangle and 3cm each side base times high divided by 2 so........... 3x3=9 divided by 2= 4.5 cm
It will be either isosceles or equilateral. It is equilateral if all of the angles are congruent.
No. It need not be the base angles that are equal, it can be one of the base angles and the top angle (if the triangle is tipped over). Also, the base angle are equal in an equilateral triangle - although an equilateral triangle is a special kind of isosceles triangle.
An equilateral triangle with a height of 20 has a base of 23.1 (23.09401), not 15. If the base is 15 then the height will be 13 (12.99038).
In effect what you are asking is "does 5 + 5 + 5 = 6 + 6 + 3?" which of course it does. Is it the word perimeter that caused confusion?
Perimeter = Sum of the three sides i.e. a+b+c Area = 1/2bh or (bh)/2 "b" stands for base "h" stands for height
This is not an equilateral triangle if height is 4 m the base is 6 m and by Pythagorean theorem the other sides are 5 m perimeter is 6 + 5 + 5 = 16m Area = base x height = 6 x 4 = 24 sq m
XXVII = 27 An equilateral triangle with a perimeter of 27 inches has three equal sides of 9 inches. Area of a triangle = base times its perpendicular height divided by 2. An equilateral triangle can be considered as being two right angled triangles joined together. So by halving the length of the base we can find its height by using Pythagoras' Theorem: hypotenuse2 - base2 = height2 92-4.52 = 60.75 square inches. Square root of 60.75 = 7.794228634 inches. Area = 9x7.794228634/2 = 35.07402885 square inches. Therefore area of an equilateral triangle with a perimeter of 27 inches is 35.074 square inches correct to 3 decimal places. Answered by David Gambell, Merseyside, England.
49.5 units
If the base of an isosceles triangle is 11 and its perimeter is 39, then it has a height of 12.87.