Question

Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 8 cm, 12 cm, and 13 cm.
O A. Knowing that 52 + 122 = 13^2, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.

O B. Knowing that 52 + 122 = 13^2, draw any two of the sides with a right angle between them. The third side will fit to form a right triangle.

O C. Knowing that 52 + 82 = (slash in the eqaul sign) 12^2, draw the 5 cm side and the 8 cm side with a right angle between them. The 12 cm side will fit to form a right triangle.

D. Knowing that 82 + 122 > 13^2, draw the 8 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.​

Answer 1

Answer: Choice A.

Knowing that 5^2 + 12^2 = 13^2, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.

The diagram is shown below.

The converse of the pythagorean theorem states that if a^2+b^2 = c^2, then we have a right triangle with hypotenuse c. The hypotenuse is always the longest side and always opposite the 90 degree angle.

Note how 5^2+12^2 = 25+144 = 169 while 13^2 = 169, so that shows how 5^2+12^2 = 13^2 is true.

Answer 2

Answer:

yes for the final exam its A

Step-by-step explanation: