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Q: What is the length of the longest side of a right angled triangle if the two shorter side are 5cm and 12 cm?

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9,3,6 The dimensions given above would not be suitable for a right angled triangle which presumably the question is asking about. The dimensions suitable for a right angled triangle in the question are: 9, 12, 15.

A scalene triangle is a triangle that does not have a right angle in it (i.e. not a right angled triangle) and does not have two (or three) sides with the same length (i.e. not an isosceles triangle or an equilateral triangle). An example is a triangle with sides of length 4cm, 5cm and 6cm.

This ratio is the tangent of the angle.If the triangle is a right angled triangle and the angle in question is not the right angle, then it is the tangent of the angle in question.

I think you need at least one other piece of information. A length of a side? An angle? Is it a right angled triangle?

The hypotenuse is the longest side in a right-angled triangle.You can calculate this in different ways depending on what pieces of information you have.If you have the lengths of the two shorter sides, you can use Pythagoras.Or if you have a side and an angle then you may be required to use Trigonometry.

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5 cm

Using Pythagoras' theorem the longest side which is the hypotenuse works out as 10cm

It may be of any length but it is always the longest side in a right-angled triangle.

9,3,6 The dimensions given above would not be suitable for a right angled triangle which presumably the question is asking about. The dimensions suitable for a right angled triangle in the question are: 9, 12, 15.

Yes. The three sides uniquely specify the triangle. If all three sides are equal it is equilateral. If only two are equal it is isosceles. If none are equal it is scalene. If the sum of the squares of the two shorter lengths is equal to the square of the longest length, it is a right angled triangle. If the sum of the squares on the two shorter sides is less than the square on the longest, it is an obtuse angled triangle. Otherwise it is an acute triangle.

a2 +b2 = c2 (c is the longest side/or hypotenuse)

A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.

The circumradius of a right angled triangle would be equal to half the length of its hypotenuse.

In a right-angled triangle, the sine of one of the smaller angles is the ratio of the length of the opposite side to the length of the longest side.

the side is a right angle which is 90 degrees and the length is shorter thand the right angle,then connect the last line to the length

An equilateral triangle has all sides the same length and all its angles are 60dgrees. A right angled triangle is just a triangle with a right angle.

A right-angled triangle can have equal sides, but does not have to. A right-angled triangle with two equal sides CANNOT be an equilateral triangle. A right-angled triangle cannot be an equilateral triangle.Divide a square along the diagonal, and you are left with two right-angled triangles with two sides of equal length.

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