Answer:
Converse of the Pythagorean Theorem
The Pythagorean Theorem states that if a triangle is a right triangle, then, the sum of the squares of the lengths of the Β legs is equal to the square of the length of the hypotenuse.
That is, if a and b are legs and c is the hypotenuse, then
a2 + b2 Β = Β c2
The converse of the Pythagorean Theorem states that if a2 + b2 Β = Β c2, then the triangle is a right triangle.
Step-by-step explanation:
Answer:
The Flower Garden is not in the shape of a right Ξ
Step-by-step explanation:
~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~
Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;
a^2 + b^2 = c^2,
10^2 + 7^2 = 13^2,
100 + 49 = 169,
149 β 169,
So the Flower Garden will not be in the shape of a right Ξ
