Yes. If you square each of his legs and add them, the sum is equal to the square of his hypotenuse.
It does not.If you consider a right angled triangle with minor sides of length 1 unit each, then the Pythagorean theorem shows the third side (the hypotenuse) is sqrt(2) units in length. So the theorem proves that a side of such a length does exist. However, it does not prove that the answer is irrational. The same applies for some other irrational numbers.
You must find the x and y components of each vector. Then you add up the like x components and the like y components. Using your total x component and total y component you may then apply the pythagorean theorem.
6, 8, and 10 is simply a scaled up version of a 3,4,5 triangle (simply double each side). Since 3,4,5 is a Pythagorean triple, so is the scaled up triangle. Alternatively, since 6, 8, and 10 are integers (whole numbers) that fulfill the Pythagorean theorem (62 + 82 = 102 ), they are a Pythagorean triple.
Each side of the square is 20 inches and by using Pythagoras' theorem its diagonal is 20 times the square root of 2 which is about 28.284 inches rounded to 3 decimal places.
You don't. You could measure each side and calculate the area of each face. Using Pythagoras's theorem only makes it simpler!
Yes. If you square each of his legs and add them, the sum is equal to the square of his hypotenuse.
It does not.If you consider a right angled triangle with minor sides of length 1 unit each, then the Pythagorean theorem shows the third side (the hypotenuse) is sqrt(2) units in length. So the theorem proves that a side of such a length does exist. However, it does not prove that the answer is irrational. The same applies for some other irrational numbers.
Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.
You must find the x and y components of each vector. Then you add up the like x components and the like y components. Using your total x component and total y component you may then apply the pythagorean theorem.
6, 8, and 10 is simply a scaled up version of a 3,4,5 triangle (simply double each side). Since 3,4,5 is a Pythagorean triple, so is the scaled up triangle. Alternatively, since 6, 8, and 10 are integers (whole numbers) that fulfill the Pythagorean theorem (62 + 82 = 102 ), they are a Pythagorean triple.
Each side of the square is 20 inches and by using Pythagoras' theorem its diagonal is 20 times the square root of 2 which is about 28.284 inches rounded to 3 decimal places.
The Pythagorean theorem, which states that the sum of the squares of each leg of a right triangle equals the square of the hypotenuse of the same triangle. (a^2) + (b^2) = (c^2).
* substitute the 2 numbers for b *evaluate powers *add *take positive square root of each side *use a calculator
a2b2 Whenever two or more terms (such as a2) are next to each other, multiplication is implied. The Pythagorean Theorem (the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides) states that a2 times b2 equals c2.
No, it does not hold true unless the triangle has an angle of 90 degrees. In a triangle that is not a right triangle, there is no hypotenuse, just three different legs, so you cannot choose the square of one side to be equal to the squares of each of the other two sides.
a^2 + b^2 = c^2 a theorem to find the length of sides of right triangles a = ( generally ) the Y, vertical side of the triangle b = ( generally ) the X, horizontal side of the triangle c = the hypotenuse of the triangle; the side opposite the 90 degree angle