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What geomatric shape is associated with root 2?
The length of a hypotenuse of a right triangle with equal legs is equal to the length of the leg times the square root of 2.
The square of the 2 legs of a right triangle are equal to the square of what?
Are equal to the square of its hypotenuse.
What is the theorem that states a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
It is Pythagoras' theorem
How does an isosceles triangle that is also a right triangle look like?
That's called a 45° right triangle. The length of the hypotenuse is equal to the length of each of the other two sides times the square root of two.
Who said The sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse?
It was the ancient Greek mathematician Pythagoras
What is the square of the hypotenuse?
The square of the hypotenuse is equal to the length of the hypotenuse times itself. This is also equal to the sum of the squares of the other two sides in a right triangle.
How can you find the base of a right triangle when you have the height and hypotenuse?
The square of the length of the base plus the square of the length of the height will equal the square of the length of the hypotenuse of your right triangle, per Pythagoras. Square the hypotenuse, subtract the square of the height, and then find the positive square root of that and you'll have the base of your right triangle.
Can you make a rectangle out of two triangles and a square?
Sure, place a triangle's hypotenuse (longest side) on the other triangle's hypotenuse, that will give either a square or a rectangle. Then place the square on one end of the rectangle. For this to work though, the length of the square's side HAS to equal the length of the triangles hypotenuses, and likewise each triangle's hypotenuse much equal the length of a side of the square. Hope this is clear.
How do you determine the length of the 3rd leg in a right triangle if you have the length of the other two legs?
A right triangle only has two legs, the third side is called the hypotenuse . The square of the length of the hypotenuse is equal to the sum of the squares of the two legs. The square root of the difference of the square of the hypotenuse and the square of one leg is equal to the length of the other leg.
In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Yes
In a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
Correct.
What length of equal sided triangle equals hypotenuse of 42 inches?
An equal sided triangle cannot have a hypotenuse!
What is The Theorem States That In A Right Triangle The Square Of The Length Of The Hypotenuse Is Equal To The Sum of the squares of the length of the legs?
It is Pythagoras' theorem.
What is the length of a 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.
What geomatric shape is associated with root 2?
The length of a hypotenuse of a right triangle with equal legs is equal to the length of the leg times the square root of 2.
The square of the 2 legs of a right triangle are equal to the square of what?
Are equal to the square of its hypotenuse.
What is known as In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Pythagorean Theorem
