Find the area of the largest square and the length of the hypotenuse of the triangle formed by the squares in the given diagram.
A.
The area of the largest square is 100 square units, so the length of the hypotenuse is 10 units.
B.
The area of the largest square is 64 square units, so the length of the hypotenuse is 8 units.
C.
The area of the largest square is 36 square units, so the length of the hypotenuse is 6 units.
D.
The area of the largest square is 196 square units, so the length of the hypotenuse is 14 units.
C. The area of the largest square is 36 square units, so the length of the hypotenuse is 6 units.
Explain the converse of the Pythagorean theorem.
A.
The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
B.
The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
C.
The converse of the Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
D.
The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse.
A.
The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.