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How many right triangles can be formed by all three lines of symmetry in an equilateral triangle?
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∙ 12y ago
The Answer is 6!
Wiki User
∙ 12y ago
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What triangles are formed when you draw a line down the middle of an equilateral triangle?
an icoceles triangle or a scalene triangle Actually you would get two right angled triangles. Isosceles triangles have two sides which are equal in length. A scalene triangle has all sides a different length and no right angles.
Name the type of special quadrilateral that will appear when you join two congruent equilateral triangles?
There are two types of quadrilaterals that are formed when two congruent equilateral triangles are joined. These shapes are rhombus and parallelogram.
How many triangles are formed by the diagonals from five vertex of a pentagon?
1 triangle is formed.
How do you make a tessellation using a dodecagon square and triangle?
Place the dodecagons so that every third side of a dodecagon is adjacent to another. In the gaps that are formed insert four equilateral triangles so that these touch a pair of dodecagons. Finally, fill the gap between the triangles using a square.
How do you find the height of an equilateral triangle if you have the length of the hypotenuse?
An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.
How many right triangles can be formed by drawing all three lines of symmetry in an equilateral triangle?
Six
What triangles are formed when you cut an equilateral triangle?
An isosceles triangle
If six equilateral triangles are placed side by side so that only two sides of each triangle touch one of the other triangles what shape is formed?
Parellelogram
How many triangles can be formed inside a hexagon?
5 equilateral triangles.
What triangles are formed when you draw a line down the middle of an equilateral triangle?
an icoceles triangle or a scalene triangle Actually you would get two right angled triangles. Isosceles triangles have two sides which are equal in length. A scalene triangle has all sides a different length and no right angles.
Is a triangle a figure formed by three segments connecting three noncollinear points?
This is a true statement that defines a triangle in geometry. However, there are many different types of triangles, such as obtuse, acute, scalene, right, equilateral, and isosceles triangles.
How many possible equilateral triangles can be formed using above dotes?
You have to specifically give the problem with the dots, but it can form all equilateral triangles.. .. . .. . . .
What polygon is formed when two equilateral triangles are placed side by side?
square
Why is 10 called a triangular number?
A triangular number or triangle number counts the objects that can form an equilateral triangle. 10 objects can be formed into an equilateral triangle.
What shape is formed when you rotate an equilateral triangle on its side?
An equilateral triangle; the sides are the same length and angle so its the same irrespective of how you tilt it.
Why is a hexagon not equilateral but equiangular when it is formed with lines connecting the corners of squares that are on each side of an equilateral triangle?
Equilateral triangles have three 60' angles, and the angles of any triangle always add to 180'. Attaching squares to each side of an equilateral triangle would also form three obtuse angles (360' - 90'- 90' - 60' = 120') and the resultant obtuse Isosceles triangles' hypotenuses would be greater in length than any side of the square since its two equal sides are the same length as the square. However, the angles of any corner of the newly formed hexagon would be 90' from the square plus 30' (30' = (180' - 120')/2) from the obtuse triangle, making this hexagon equiangular, but not equilateral. JCS
What types of triangles can be formed by taking the cross section of a cube?
equilateral, isosceles, and scalene.
