Question

The Pythagorean theorem states that in any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

a. a^2+b^2=c^2
b. b^2+c^2=a^2
c. a^2+c^2 =b^2
d. a+b=c

Answer 1

To solve for the hypotenuse, we can rewrite the equation and take the square root of both sides. For example, if we have a right triangle with side lengths a = 3 and b = 4, we can use the Pythagorean theorem to find the length of the hypotenuse: c = √(3² + 4²) = √25 = 5.

Step-by-step explanation:

The Pythagorean theorem states that in any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The relationship is given by the equation a² + b² = c², where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.

To solve for the hypotenuse, c, we can rewrite the equation and take the square root of both sides: c = √(a² + b²).

For example, if we have a right triangle with side lengths a = 3 and b = 4, we can use the Pythagorean theorem to find the length of the hypotenuse: c = √(3² + 4²) = √(9 + 16) = √25 = 5.