The procedure that can be used to show the converse of the Pythagorean theorem is - 'Knowing that [tex]5^{2}+12^{2}=13^{2}[/tex] draw the 5 cm side and 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.'
The correct answer is an option (D)
What is right triangle?
"It is a triangle whose one of the angle measures 90° "
What is converse of the Pythagorean theorem?
"If the square of a side of a triangle is equal to the sum of the square of the other two sides, then triangle must be right angle triangle."
For given question,
We have been given the side lengths 5cm, 9cm, 12 cm, and 13 cm.
We need Select the correct procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5cm, 9cm, 12 cm, and 13 cm.
We can observe that,
[tex]5^{2} +12^{2}\\ =25+144\\ =169\\=13^2[/tex]
This means, draw the 5 cm side and 12 cm side with a right angle between them. Then, the 13 cm side will fit to form a right triangle.
Therefore, the procedure that can be used to show the converse of the Pythagorean theorem is - 'Knowing that [tex]5^{2}+12^{2}=13^{2}[/tex] draw the 5 cm side and 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.'
The correct answer is an option (D)
Learn more about converse of the Pythagorean theorem here:
https://brainly.com/question/8074030
#SPJ2
