Question

The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equation is not equivalent to the Pythagorean Theorem?

Group of answer choices


a=√c²-b²


b=√c²-a²


c=√b²-a²


d=√a²+b²

Answer 1

The correct answer is c=√b²-a²

Explanation:

Pythagoras theorem states that " the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides."

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation

`c^2= a^2+b^2`

where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides

Answer 2

C.
`c^(2) = b^(2)-a^(2)`

Explanation:

The Pythagorean Theorem express that right-angled triangles (see Figure) are described by the following expression:

`c^(2) = a^(2) + b^(2)` (Choice D)

Where:

`a, b` - Legs

`c` - Hypotenuse

Equivalent forms of the equation are, respectively:

`a^(2) = c^(2) - b^(2)` (Choice A)

`b^(2) = c^(2) - a^(2)` (Choice B)

The choice C is not equivalent to the Pythagorean Theorem.