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Q: What shape has 3 vertices all sides different length and 1 right angle?

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Like all triangles it has 3 vertices.

An isoceles triangle has two angles that are the same length with the third being different. It can be a right angle or another angle. or it's also called a Right Isosceles triangle.

It can be any length; a right angle triangle just needs to include a right angle somewhere. But length has nothing to do with whether it is a right angle or not.

Sum of all angles at vertices in a triangle is 180. Right angle means 90 Degree. A triangle can have only one Right angle.

A square and a rectangle

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Like all triangles it has 3 vertices.

An isoceles triangle has two angles that are the same length with the third being different. It can be a right angle or another angle. or it's also called a Right Isosceles triangle.

A right angle triangle contains a 90 degree angle and 2 acute angles.

A right angled triangle.

It can be any length; a right angle triangle just needs to include a right angle somewhere. But length has nothing to do with whether it is a right angle or not.

If this makes sense.... something like this |\ | \ |___\ A three sided polygon that has one right (90 degree) angle and all three sides have different lengths

Sum of all angles at vertices in a triangle is 180. Right angle means 90 Degree. A triangle can have only one Right angle.

In a right triangle, the tangent of an angle other than the right angle is the ratio of the length of the side opposite the angle over the length of the side adjacent to the angle (the side between the angle and the right angle).

A square and a rectangle

the angle is an angle and therefore doesn't have a length. If you want to find the length of the hypotenuse - the leg across from the right angle - it is the square-root of the other two legs each squared.

The given vertices when plotted on the Cartesian plane will form a right angle triangle and so therefore its largest angle is 90 degrees.

A rhombus is a quadrilateral with four sides of equal length. It does not necessarily have a right angle. A rhombus can have all angles equal but not necessarily 90 degrees.