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There are infinitely many triplets, and in general, they do not have a name. If all three are integers, then they are known as Pythagorean triplets.

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Q: Which set of numbers could be the lengths of the sides of the right triangles?
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Do right triangles and hexagons both have all sides of equal lengths?

Only when they are equilateral triangles and regular hexagons that both will have sides of equal lengths.


Are all scalene triangles acute triangles?

No, scalene triangles can be obtuse, right or acute triangles. A 3 - 4 -5 right triangle (lengths of the sides) is one example of a right-scalene triangle. In fact, with the exception of the [45°, 45°, 90°] right triangle (which is isosceles) all other right triangles are scalene.


When do you say that two triangles have the same shape?

well, they could be congruent, there are some rules for congruency, to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. ;or they could be mathmatically similar. :)


What are the different application of trigonometry?

Trigonometry is used to find the properties of triangles and Pythagoras' theorem is used to find the lengths and angles of right angle triangles.


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.


Could a triangle be right?

Sure. There are right triangles.


What is a way to prove that two right triangles are congruent?

Place them on each other and they should have the same lengths and angles.


What size and shape do two congruent triangles have?

to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. :)


Is a triangle with sides 60 80 and 100 a right triangle?

Yup, it follows the 3, 4, 5 rule (or in this case 6, 8, 10). Triangles with those ratios in the lengths of its sides are always right triangles


Is sine considered as trigonometry?

Yes, the sine, cosine and tangent are integral to problem solving (angles and side lengths) in right angle triangles (triangles with a 90 degree angle included).


Theorem is this describing In a right triangle the sum of the squares of the leg lengths is equal to square of the hypotenuse length.?

It is Pythagoras' theorem that is applicable to right angle triangles.


What relationship between the right triangles side?

The sum of the squares of the lengths of the two shortest sides is equal to the square of the longest side.