Q: Can two congruent equilateral triangles can be joined to make a rhombus?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

There are two types of quadrilaterals that are formed when two congruent equilateral triangles are joined. These shapes are rhombus and parallelogram.

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.

rhombus

no two triangles can make a square

Two scalene right triangles that are congruent, that is, that have identical size and shape, if joined together to form a quadrilateral, will form a rectangle.

Related questions

There are two types of quadrilaterals that are formed when two congruent equilateral triangles are joined. These shapes are rhombus and parallelogram.

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.

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.

Depending on how they are joined, you can get a square, rectangle, rhombus, parallelogram, kite, arrowhead (or delta). You could also get a concave pentagon or hexagon.

rhombus

Yes

no two triangles can make a square

yes it can because if you put the triangles on top of each other then that will maske a rhombus so the answer is YES

yes it can i dont no why though

No, two scalene triangles, for example, can never make a rhombus..

In general, a parallelogram. But if the triangles are joined along their odd side, a rhombus.

the all 5 sides of pentagon are identical , so all the sides are equal to each other now D is the point which is the center of the pentagon , so the bisector drawns of the angles are equal to each other therefore all the sides of the penagon are equal which says that the equilateral triangles has all the sides equal therefore the triangles are equilateral triangles