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When a triangle is made so that the base is part of the diagonal of a square and the area of a triangle is equal to the area of the square what is the length of the triangles altitude?
Wiki User
∙ 12y ago
1. Let us assume that the side of the square = X. Then the Diagonal of the square = X * Sqrt 2 and the area of the square is = X2 . 2. Given that : Base of Triangle = Diagonal of the Square, and Area of the triangle = Area of the Square. Let H = Height (or Altitude) of the Triangle. 3. This leads us to : 1/2 * H * X * Sqrt 2 = X2 4. Answer : Rearranging the above from 3 , we get : H = x * SQRT 2 So the Height (or Altitude) of The Triangle = Side of the Square * 1.414
- A triangle has 3 sides and angles are always going to be acute angles!
- Squares have 4 side and all angles are 90 degree angles or also known as right angles.
Wiki User
∙ 12y ago
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What is the length in inches of a triangles altitude if its base is thirty-two inches?
I suppose by "length of a triangles altitude" you mean height. The height of the triangle in question cannot be determined from the information given. In order to determine the height of the triangle, two dimensions must be known.
Can the median of an equilateral triangle be longer than its altitude?
For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.
A parallelogram can be split into what type of triangle?
Generally a parallelogram will be split into two scalene triangles by a diagonal; depending upon which diagonal, they will be acute or obtuse. However, it is possible for the diagonal to be the same length as one of the sides, in which case it will be split into two isosceles triangles. For the special case of the "regular" parallelogram (whereby every side is equal in length, and it is otherwise known as a Rhombus) it will generally be split into two isosceles triangles, but the diagonal could be the same length as the sides and it will be split into two equilateral triangles.
Can any two triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
What is the length of the sides of an isosceles triangle?
The length of the sides of an isosceles triangle are not set in stone. An isosceles triangle is defined as a triangle with at least two congruent sides. Equilateral triangles; that is, triangles in which all sides are of equal length are also considered to be isosceles triangles. Therefore, as long as at least two sides of the triangle are congruent, (Of equal length) said triangle is an isosceles triangle.
When a square is divided by diagonal is it called an equilateral triangle?
no but the diagonal divides the square into two equilateral triangles. An equilateral triangle is a triangle that has two sides of the same length
What is the length in inches of a triangles altitude if its base is thirty-two inches?
I suppose by "length of a triangles altitude" you mean height. The height of the triangle in question cannot be determined from the information given. In order to determine the height of the triangle, two dimensions must be known.
Can the median of an equilateral triangle be longer than its altitude?
For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.
A parallelogram can be split into what type of triangle?
Generally a parallelogram will be split into two scalene triangles by a diagonal; depending upon which diagonal, they will be acute or obtuse. However, it is possible for the diagonal to be the same length as one of the sides, in which case it will be split into two isosceles triangles. For the special case of the "regular" parallelogram (whereby every side is equal in length, and it is otherwise known as a Rhombus) it will generally be split into two isosceles triangles, but the diagonal could be the same length as the sides and it will be split into two equilateral triangles.
What is the difference between an isosceles and an scaline triangle?
An equilateral triangle is a triangle where all of the sides are of equal length. An isosceles triangle is a triangle that has only two sides that are of equal length.
What is the length of a triangle with an altitude length of 27 feet?
Clarify what triangle side length you are looking for.
Are equilateral triangles and isosceles triangles the same?
No, they are definitely not. An isosceles triangle is a triangle with 2 sides that have the same length. An equilateral triangle is a triangle with 3, or all sides with the same length.
Can any two triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
Can any triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
What is the length of the sides of an isosceles triangle?
The length of the sides of an isosceles triangle are not set in stone. An isosceles triangle is defined as a triangle with at least two congruent sides. Equilateral triangles; that is, triangles in which all sides are of equal length are also considered to be isosceles triangles. Therefore, as long as at least two sides of the triangle are congruent, (Of equal length) said triangle is an isosceles triangle.
Is the altitude of an equilateral triangle equal to a side length?
No. The altitude is smaller.
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/
