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For a right angled triangle, sum of squares of two sides of a triangle equals square of the third side.

For example -

In triangle ABC,

AB2 + BC2 = AC2

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Q: How do you determine if a triangle is a right triangle?
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Continue Learning about Algebra

How do you determine what side of the triangle is the hypotenuse?

Given a right triangle, the hypotenuse is the longest side or simply the side opposite the 90o angle.


How can you determine whether or not the sides of a triangle form a right triangle using Pythagorean triples?

If the lengths of the sides of the triangle can be substituted for 'a', 'b', and 'c'in the equationa2 + b2 = c2and maintain the equality, then the lengths of the sides are a Pythagorean triple, and the triangle is a right one.


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.


Converse of Pythagorean Theorem?

The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.


How do you know if a triangle is a right triangle using the pythagorean therom?

We know that a right triangle is a triangle having a right angle, where the side opposite the right angle is the hypotenuse, and the perpendicular sides are the legs of the right triangle. The Pythagorean theorem gives the relationship between the lengths of the sides of a right triangles. In the case where you know only the measure lengths of the sides of a triangle, you need to test these measures. If one of the sides of the triangle has a square measure equal to the sum of the square measures of two other sides, then this side is called the hypotenuse and opposite to this side is a 90 degree angle, which is a right angle. So, you can say that this triangle is a right triangle. Pythagorean triple are very helpful to determine a right triangle, such as: (3, 4, 5), (5,12,13), (8, 15, 17), (7, 24, 25), and (20, 21, 29).

Related questions

How do you determine that the triangle is a right triangle?

If a triangle has a right angle, it is a right triangle.


How can you determine that it is an acute triangle?

there will be a right angle in the triangle.


How do you determine if a triangle is a right angle?

If one of the angles in a triangle is exactly 90 degrees, then it is a right-angle triangle.


Can you use triangle in a sentence?

Pythagoras's Theorem is used to determine if a triangle is a right triangle or not.


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 if a triangle is acute obtuse or right triangle?

If all of the angles in a triangle are acute then it is an acute triangle. If one angle is right (or 90 degrees) then it is a right triangle. If one angle is obtuse then it is an obtuse triangle.


How could you determine if a set of three numbers defines a right triangle?

If they are a Pythagorean triple then they will form a right angle triangle


Is 5 a right triangle?

If the length of only one side is known, it is not possible to determine whether or not the triangle is right angled.


Is 10 a right triangle?

If the length of only one side is known, it is not possible to determine whether or not the triangle is right angled.


How do you determine that the triangle formed is a right triangle?

One of its interior will be 90 degrees. also there will be a little box in the corner to show that it is a right angle.


How do you determine if a triangle has a right angle by multiplying slopes?

Well, when the slopes of the perpendicular sides of the right triangle are mutiplied, the result should be -1.


How do you determine the length of a right triange side?

by finding out the hypotenuse of the triangle