Which statement about a right triangle is NOT true?
A.) The hypotenuse is the longest side of the triangle.
B.) The square of the hypotenuse is equal to the sum of the squares of the other two lengths.
C.) The sum of the length of the two legs is equal to the length of the hypotenuse.
D.) The hypotenuse is always opposite the largest angle of the triangle.
I think it is B.
listen to your Mom ...
sorry - B is the Pythagorean Theorem!
So is it C? That is what my mom says.
Mother knows best.
B is the Pythagorean Theorem ... its true
so what does that tell you about one of the other possibilities?
To determine which statement about a right triangle is NOT true, let's analyze each statement:
A.) The hypotenuse is the longest side of the triangle.
This statement is generally true. In a right triangle, the hypotenuse is always the longest side. So, it is not the incorrect statement.
B.) The square of the hypotenuse is equal to the sum of the squares of the other two lengths.
This statement is known as the Pythagorean theorem, which is true for right triangles. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, statement B is true and not the incorrect statement.
C.) The sum of the length of the two legs is equal to the length of the hypotenuse.
This statement is also true. By using the Pythagorean theorem, we can see that the sum of the squares of the two legs is equal to the square of the hypotenuse. So, statement C is also not the incorrect statement.
D.) The hypotenuse is always opposite the largest angle of the triangle.
This statement is not true. In a right triangle, the hypotenuse is always opposite the right angle, which is the largest angle in the triangle. So, statement D is the incorrect statement.
Therefore, your initial thought is correct. The statement that is NOT true for a right triangle is D.) The hypotenuse is always opposite the largest angle of the triangle.