Question

Beginning with a right toriangle ABC of sides a, b, and a determine its area, the 'standard formula A-Ž (base) height) ano b Heron's Formula Equate and manipulate the resulting equahon until your derive Pythagorean Theorem

Answer 1

To find the area of a right triangle, we can use the formula A = (base * height) / 2. By using Heron's formula and manipulating the equation, we can derive the Pythagorean theorem.

Step-by-step explanation:

To find the area of a right triangle ABC with sides a, b, and c, we can use the formula A = (base * height) / 2. In this case, a and b are the legs of the triangle, and c is the hypotenuse.

By using Heron's formula, we can equate the area of the triangle to √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter of the triangle. Manipulating this equation will lead us to the Pythagorean theorem: a^2 + b^2 = c^2.

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