What is the third side of an equilateral triangle?
What is the third side of an equilateral triangle?
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
What is half a equilateral triangle?
If we consider a right triangle with angle measures of 30, 60, and 90 degrees, and with the shortest side 1 unit long, then the hypotenuse must be 2 units long since the triangle can be thought of as half of an equilateral triangle.
How do you find the length of one side of an equilateral triangle?
Explanation: Since each of this triangle’s sides is equal in length, it is equilateral. To find the length of one side of an equilateral triangle, we need to divide the perimeter by .
How do you find the missing length of an equilateral triangle?
Since the equilateral triangle shares a side with the square, each of the five sides that are outlined have the same length. Recall that the height of an equilateral triangle splits the triangle into congruent triangles. We can then use the height to find the length of the side of the triangle.
What is the side length of an equilateral triangle?
An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees.
How many sides does an equilateral triangle have?
3
Equilateral triangle/Number of edges
How do you find the side of a 30-60-90 triangle?
A Quick Guide to the 30-60-90 Degree Triangle
- Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse.
- Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side.
- Type 3: You know the long leg (the side across from the 60-degree angle).
What is the formula for 30-60-90 triangle?
30-60-90 Triangle Rule
| Base is given | Perpendicular is given |
|---|---|
| The perpendicular of the triangle ABC is AB = (a /√3) The hypotenuse of the triangle ABC is AC = (2a)/√3 | The base of the triangle DEF is EF = √3a. The hypotenuse of the triangle DEF is DF = 2a. |
How to calculate the sides of an equilateral triangle?
Sides of Equilateral Triangle: a = b = c. 1. Given the side find the perimeter, semiperimeter, area and altitude. a is known; find P, s, K and h. P = 3a. s = 3a / 2. K = (1/4) * √3 * a 2. h = (1/2) * √3 * a. 2.
What kind of triangle has all three sides equal?
There are mainly three types of triangles which are scalene triangles, equilateral triangles, and isosceles triangles. An equilateral triangle has all the three sides equal and all angles equal to 60°. All the angles in an equilateral triangle are congruent. An equilateral triangle is the one in which all three sides are equal.
Can you calculate the unknowns of an equilateral triangle?
If you have any 1 known you can find the other 4 unknowns. So if you know the length of a side = a, or the perimeter = P, or the semiperimeter = s, or the area = K, or the altitude = h, you can calculate the other values.
Which is larger a triangle or a non-equilateral triangle?
The triangle of largest area of all those inscribed in a given circle is equilateral; and the triangle of smallest area of all those circumscribed around a given circle is equilateral. The ratio of the area of the incircle to the area of an equilateral triangle, , is larger than that of any non-equilateral triangle.
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