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use the pathagory intherum

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Q: How do you determine if three side lengths form a right triangle?
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How do you find the length of hypotenuse when the right triangle has an altitude?

All triangles have an altitude. In fact they all have three of them. Whether or not they have an altitude, the important thing when trying to determine the length of the hypotenuse is what information you have on the lengths of the sides. Altitudes, medians can help determine the lengths of sides, as can angles. You need a minimum of 3 pieces of information. There is only one in the question: the fact that the triangle has a right angle.


Can the numbers 24 32 40 be the lengths of the three sides of a right triangle?

Yes because they comply with Pythagoras' theorem for a right angle triangle


How do you determine that the triangle is a right triangle through the 3 vertices?

If one of the three interior angles is 90 degrees then it is a right triangle.


How can you determine whether a triangle is a right triangle if you only have the lengths of its three sides?

The pathagoren theorm states that a2+ b2 = c2. If you put your lenghts into the equation and it comes out true (100=100), then the triangle is a right trianlge. If it is a false equation (100=30), then it is not a right triangle. Where a = lenght of leg 1, b = lenght of leg 2, and c = lenght of hypotenuse.


What type of triangle is ABC?

You must have more information about the triangle. If you know the angles, and two of them are equal, it is an isosceles triangle. If all three of the angles are sixty-degrees, it is an equilateral triangle. If none of the angles are the same, it is a scalene triangle. If one of the angles is ninety degrees, it is a right triangle (right triangles may also be scalene or isosceles). If you know the side lengths and two of them are equal, it is isosceles. If they are all equal, it is equilateral. If none of them are equal, it is scalene. A scalene or isosceles triangle may also be a right triangle, which you could determine from side lengths using the pythagorean theorem.

Related questions

A triangle with side lengths of a b and c is which type of triangle?

You must have more information to determine what type of triangle it is. If two of the lengths are equal, it is isosceles. If all three of the lengths are equal, it is equilateral. If none of them are equal, it is scalene. It may also be a right triangle if it is isosceles or scalene.


What triangle has one right angle and all three sides are different lengths?

A triangle with a right angle and different lengths for sides is a right, scalene triangle.


Do A triangle with sides of lengths 32 60 and 68 is a right triangle?

Yes, the triangle is right-angled because 322 + 602 = 682. Given all three side lengths, you can use the Pythagorean relationship to determine whether a triangle is or is not right-angled. The right angle would be opposite the hypotenuse, 68.


What shape has three sides all different lengths and no right angles?

Isosceles triangle.


Right triangle cannot be scalene is it true or false?

A scalene triangle is one that has three lengths of different sizes. It is quite possible for a right triangle to have three sides of different length.


How can you determine is it triangle when given three sides?

If the lengths of each pair of them add to more than the length of the third, they can form a triangle. If not, they cannot.


How do you determine if its a triangle by the lengths of the sides?

-- Each number has to be (more than the difference of the other two) but (less than their sum). -- Count the lengths of the sides. If you get to three and then run out of numbers, it's a triangle.


How do you find a right triangle when you have three numbers?

Three numbers may or may not define a right triangle. Also, the answer will depend on whether the three numbers are the lengths of sides or the measures of angles.


Can you form a right triangle with the three lengths given 71112?

No because the given dimensions do not comply with Pythagoras' theorem for a right angle triangle.


How do you find the length of hypotenuse when the right triangle has an altitude?

All triangles have an altitude. In fact they all have three of them. Whether or not they have an altitude, the important thing when trying to determine the length of the hypotenuse is what information you have on the lengths of the sides. Altitudes, medians can help determine the lengths of sides, as can angles. You need a minimum of 3 pieces of information. There is only one in the question: the fact that the triangle has a right angle.


Perimeter of non right angled triangle?

The perimeter of a triangle is simply the sum of the lengths of its three sides. Knowing that it is right angles (or not) is rarely of help.


Can the numbers 24 32 40 be the lengths of the three sides of a right triangle?

Yes because they comply with Pythagoras' theorem for a right angle triangle