Question

Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 3 feet, 4 feet, 5 feet, and 6 feet.
A. Knowing that 32 + 42 = 52, draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle.


B. Knowing that 32 + 52 ≠ 62, draw the 3-foot side and the 5-foot side with a right angle between them. The 6-foot side will fit to form a right triangle.


C. Knowing that 32 + 42 = 52, draw any two of the sides with a right angle between them. The third side will fit to form a right triangle.


D. Knowing that 42 + 52 < 62, draw the 4-foot side and the 5-foot side with a right angle between them. The 6-foot side will fit to form a right triangle.

Answer 1

Using Pythagoras theorem,  we know that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle

How to use Pythagoras theorem to prove a right triangle?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

Therefore,

c²= a²+ b²

where

• c = hypotenuse side
• a and b are the other legs.

Therefore,

3² + 4² = 5²

Hence,

Knowing that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle

learn more on Pythagoras's theorem here: brainly.com/question/20462170

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