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Equilateral triangle
Wiki User
∙ 15y ago
Wiki User
∙ 14y agoEquilateral triangles
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What is the sss criterion?
The SSS criterion stands for side-side-side and is a rule used to determine if two triangles are congruent. This means that if the three sides of one triangle are equal in length to the three sides of another triangle, then the triangles are congruent.
Are all triangles equilateral?
No.Equilateral triangles must have equal angles (all 60 degrees) and equal length sides; there are also:Isosceles triangles which have two equal angles and two equal sides;Scalene triangles which have all three sides, and hence all three angles, of different lengths;Right angled triangles (which can have all sides of different lengths, or two sides of equal length) have (as the name suggests) one right angle. This means Pythagoras and the trigonometric ratios can be used on its side lengths.
What is sss in postulate?
This stands for side-side-side. It means if two triangles have three sides that are the same length, than they triangles are congruent.
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 are some methods that can prove triangles congruent?
SSS - Side-Side-SideAll three corresponding sides of the triangles have the same length AAS - Angle-Angle-Side; ASA - Angle-Side-AngleTwo corresponding angles are equal and a corresponding side is equal SAS - Side-Angle-SideTwo corresponding sides have the same length and the enclosed angle is the same. Note: it is important that the angle is the one between the corresponding sides of equal length.RHS - Right_angle-Hypotenuse-SideIn a right angled triangle the hypotenuse and a corresponding side must be equal.
If 3 corresponding angles of two triangles are of equal measure are the side lengths of equal measure also?
Not necessarily. You have described "similar" triangles. If you also know that any of the lengths of sides are of equal measure in addition to three angles (congruent), then the lengths of all of the sides are of equal measure. But with what you have given, consider, for example, two equilateral triangles, both have all angles equal to 60 degrees (satisfying the condition in your question). One of the triangles could have sides length 1 and the other with sides all of length 2.
What kind of triangle has two sides with length 15 and one side with length 25?
isoscelesAs regard their sides, triangles may beScaleneIsoscelesEquilateralAnd in regard to their angles, triangles may beAcuteRightObtuseEquiangularA triangle is scalene if all of its three sides are 'different'.If only two of its sides are equal, the triangle is called isosceles.A triangle with all three 'equal' sides is called equilateral.So, a triangle with a length of 15 on two sides and a length of 25 on the third side would be Isosceles, since two of the sides are the same.
What is the different between all of the 4 triangles?
Equilateral triangles have 3 sides all of the same lengths and the three angles are equal (60°). Isoceles triangles have two sides of equal length with both of those side angles being equal while the other is different. Scalane triangles have all sides of different lengths and different angles. Right angled triangles have one angle of 90° and the other two will total 90°.
What are three ways that triangles are congruent?
Triangles are congruent when:All three sides are the same length (SSS congruency)Two sides and the angle between them are the same length (SAS congruency)Two angles and the side between them are the same length (ASA congruency)
Can you make a rectangle out of two triangles and a square?
Sure, place a triangle's hypotenuse (longest side) on the other triangle's hypotenuse, that will give either a square or a rectangle. Then place the square on one end of the rectangle. For this to work though, the length of the square's side HAS to equal the length of the triangles hypotenuses, and likewise each triangle's hypotenuse much equal the length of a side of the square. Hope this is clear.
Can an equalateral triangle have only two sides of equal length?
No because then it would be an isosceles triangle. Scalene triangles have no sides of the same length. Isosceles have two sides of the same length and equilateral has all side of an equal length.
