Use the Converse of the Pythagorean Theorem to determine whether a right triangle can be formed given sides a , b , and c , where a=3 , b=4 , and c=5
The Converse of the Pythagorean Theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
In this case, we have a=3, b=4, and c=5. We can use the Converse of the Pythagorean Theorem to determine whether a right triangle can be formed by checking if a^2 + b^2 = c^2.
a^2 = 3^2 = 9
b^2 = 4^2 = 16
c^2 = 5^2 = 25
Therefore, a^2 + b^2 = 9 + 16 = 25 = c^2.
Since a^2 + b^2 = c^2, we can conclude that a right triangle can be formed with sides a=3, b=4, and c=5.