Question
True or False 10 points In order for three sides to be the sides of a right triangle.they do not have to make Pythagorean true. True False
Solution
4.3
(276 Votos)
Gertrudes
Mestre · Tutor por 5 anos
Resposta
False
Explicação
## Step 1The problem is asking whether three sides can form a right triangle without satisfying the Pythagorean theorem. The Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as:###
where
represents the length of the hypotenuse, and
and
represent the lengths of the other two sides.## Step 2If three sides do not satisfy the Pythagorean theorem, they cannot form a right triangle. Therefore, the statement "In order for three sides to be the sides of a right triangle, they do not have to make the Pythagorean true" is false.