True because it complies with Pythagoras' theorem.
yes
A squared plus B squared equals C squared, where C is the hypotenuse of a right triangle and A and B are the other two sides is true and is one way of expressing the Pythagorean Theorem.
You left out one very important detail . . . the statement is true for a RIGHT triangle.
True
No, it does not hold true unless the triangle has an angle of 90 degrees. In a triangle that is not a right triangle, there is no hypotenuse, just three different legs, so you cannot choose the square of one side to be equal to the squares of each of the other two sides.
True because it complies with Pythagoras' theorem.
Simply because the Pythagorean Theorem is not true for any triangle that doesn't have a right angle in it. If a triangle has a right angle in it, then it satisfies the Theorem. If it hasn't, then it doesn't. And if it satisfies the Theorem, then it has a right angle in it, and if it doesn't, then it hasn't.
False because it does not comply with Pythagoras' theorem.
A Mathematician named Pythagorean. That is why it is called Pythagorean's theorem. For every right triangle, this theorem will be true.
The hypotenuse is the longest side in a right triangle and it is opposite the right angle. It is always opposite the right angle and is found by using the Pythagorean theorem.
That's only true if the "legs" are indeed legs, i.e. the triangle is a right triangle, and the legsinclude a 90-degree angle.
If the hypotenuse of a right triangle is congruent to the corresponding part of another right triangle, then the triangles are congruent. ========================================== Another contributor, in shock, stopped by to point out: That may (or may not) be a "hypotenuse theorem", but you really need to be careful trying to use it, because it's not true!
7, 8 & 12 are the sides of the triangle.And, for a right angled triangle the Pythagoras theorem is always applicable!Pythagoras theorem states that for a right angled triangle:(Longest Side)2 = (Side-1)2 + (Side-2)2(Longest side is called as the hypotenuse).So, using data in the question:If its a right angled triangle--->122 = 72 + 82i.e. 144 = 49 + 64 => 144 = 113, which is clearly not true!Hence, the triangle with the given sides is not a right triangle.
The theorem that the three angles of a triangle can be added up to equal 180 degrees. Don't confuse this with a theory, however; this has been proven true.
The isosceles triangle theorem states that if two sides of a triangle are congruent, the angles opposite of them are congruent. The converse of this theorem states that if two angles of a triangle are congruent, the sides that are opposite of them are congruent.
Yes providing that it is a right angle triangle in accordance with Pythagoras' theorem