Question

Use that theorem to change the right side of the equation found above.

a) Pythagorean Theorem
b) Fundamental Theorem of Calculus
c) Binomial Theorem
d) Fermat's Last Theorem

Answer 1

The Pythagorean Theorem, a² + b² = c², is used to find the length of the hypotenuse in a right-angled triangle by rewriting the theorem as c = √(a² + b²). For instance, if the sides are 3 and 4, the hypotenuse is calculated as c = 5. Option A is correct.

Step-by-step explanation:

The Pythagorean Theorem is a fundamental principle in geometry that states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

This can be expressed as the equation a² + b² = c². If you need to find the length of the hypotenuse and you know the lengths of the other two sides, you can use the Pythagorean Theorem to calculate it. To solve for c, the equation can be rewritten as c = √(a² + b²).

For example, if a right triangle has legs of lengths 3 and 4, using the Pythagorean Theorem, we find that c = √(3² + 4²) = √(9 + 16) = √25 = 5. Therefore, the length of the hypotenuse is 5.