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Pythagoras' theorem states that for any right angle triangle the square of its hypotenuse is equal to the sum of its squared sides as in the following formula:-

a squared + b squared = c squared whereas a and b are the sides of the triangle with c being its hypotenuse

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Q: How do you know if a triangle is a right triangle using the pythagorean therom -?
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Continue Learning about Geometry

Is a triangle with sides of lengths 20 21 and 29 a right triangle?

Yes. Using Pythagorean's theorem: 202+212 = 400+441 = 841 = 292 = 841


When drawing a vector using the triangle method of addition how do you draw in the resultant vector?

When drawing a vector using the triangle method you will draw in the resultant vector using Pythagorean theorem. This is taught in physics.


What is the length of the hypotenuse of a right triangle if the lengths of the legs are 24 inches and 7 inches?

The Pythagorean theorem states that the length of the hypotenuse of a right triangle is the square root of the sum of the squares of the other two sides.[(24 in)^2 + (7 in)^2]^(1/2) = 25 in


What is the Hypotenuse?

It is the line of a right triangle that connects the two angles that are less than 90°. It is therefore always the longest side of the triangle. It can be found by using the Pythagorean Theorem Formula: a2+b2=c2, where a and b are the lengths of each of the two sides and c is the 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

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).


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.


What can be found using the pythagorean theorem formula?

If you know two sides of a right triangle, the Pythagorean Formula lets you find the third side. Also, if you know all three sides of a triangle, you can confirm whether it is, or isn't, a right triangle.


Which formula can be derived by using the Pythagorean theorem in the coordinate plane?

The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.


What’s the missing side of a right triangle if the two sides are 5 and 13 using the Pythagorean Theorem?

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Is it possible to solve a right triangle without using Pythagorean theorem?

Yes simply with a protractor and a measuring device.


The side opposite the right angle in a right triangle is the hypotenuse.?

The hypotenuse is the longest side in a right triangle and it is opposite the right angle. It is always opposite the right angle and is found by using the Pythagorean theorem.


What is the length of a diagonal line in a rectangle 30 feet by 20 feet?

You can calculate this using the Pythagorean formula for a right triangle.


Is a triangle with sides of lengths 20 21 and 29 a right triangle?

Yes. Using Pythagorean's theorem: 202+212 = 400+441 = 841 = 292 = 841


Do 5 12 13 form a right angled triangle?

Yes they do for a triangle using Pythagorean theorem 5 squared + 12 squared = 13 squared


Find the hypotenue of a right triangle whose sides measure 6in 8in?

Because the 2 shorter sides are 6 and 8 in, and it is an right triangle, this is automatically a Pythagorean Triple. This is a 6-8-10 triangle, thus, the hypotenuse is 10 in.Elsewise, you can find the answer using the plain Pythagorean Theroem:62 + 82 = x236 + 64 = x2100 = x210 = x


What is the pythagorean theorem of a 6ft by 8ft?

If the sides of a right angle triangle are 6 feet and 8 feet then by using Pythagoras' theorem the hypotenuse will be 10 feet