In a right triangle, is the square of the hypotenuse the sum of the square of the other two sides?

Yes. It's called the Pythagorean Theorem.

You are correct. This is the Pythagorean Theorem. a^2+b^2=c^2 . If you build three squares projecting off of the right triangle, each with one side of the triangle being the side of that square, then the sum of the areas of the squares formed with the legs equals the area of the square formed by the hypotenuse. This theorem was discovered by an ancient mathematician with the name of Pythagoras. It only works with right triangles.

An interesting note: For any triangle, not just right triangles, if the sum of the squares of the two shortest sides (legs) is more than the square of the longest side (hypotenuse), then that triangle is acute (a^2+b^2>c^2). If the sum of the squares if the legs is less than the square of the hypotenuse, then it is obtuse (a^2+b^2<c^2). Yes, it seems backwards. An easy way to remember is that if the square of the hypotenuse is greater than the sum of the squares of the legs, than it is obtuse. If the hypotenuse is less than the legs, than it is acute.

Its called the Pythagorean Theorem.

The square of the hypotenuse the sum of the square of the other two sides.. this is true in all right angled triangles.. only right angled triangles.

yeah the equation is:

A^2+B^2=C^2

when A= leg of triangle

B=other leg of triangle

C= hypotenuse

so say A=2 and B=6

2^2+6^2=C^2

4 + 36 = C^2

40=C^2

now isolate C by squaring both sides

Sqare root of 40=C

a^2 + b^2 = c^2

does 3^2 + 4^2 = 5^2

9 + 16 = 25 ?

Pythagorean Theorem

Yes, you are correct.

Yeppers. It's called the Pythagorean Theorem.

Yes. This is called the Pythagorean Theorem after Pythagoras, the mathematician who discovered it.

yea the pathagorean theorum

a^2 + b^2 = c^2

c being the hypotenuse of the right triangle

yes pythagoras said so

a^2+b^2=c^2

called pythagorean theorem

think about it, if you mirrored the triangle would you get the same answer?