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.
With right angle triangles
A right angle triangle.
Right angle triangles
When working out the sides of a right angle triangle.
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.
With right angle triangles
The Pythagorean Theorem states that in a right triangle with legs a and b and hypotenuse c, a2 + b2 = c2. The converse of the Pythagorean theorem states that, if in a triangle with sides a, b, c, a2 + b2 = c2 then the triangle is right and the angle opposite side c is a right angle.
With any right angle triangle
A right angle triangle.
No. The Pythagorean theorem applies only to right triangles...those containing a right angle (90 degrees).
Right-Angle triangles
Right angle triangles
When working out the sides of a right angle triangle.
A right angle is an angle of 90 degrees. Any angle not 90 degrees is not a right angle. End of story.
Yes Pythagoras' theorem is applicable to right angle triangles
To find the side lengths and hypotenuse of a right angle triangle.