Determine if the triangle on the coordinate plane is a right triangle by using the converse
of the Pythagorean theorem.
No.
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
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.
you can't, because the Pythagorean theorem is for right triangles and the triangles formed by the diagonal of a parallelogram are not right triangles.
When you're in Geometry.
No.
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
Better for what??? Actually, both are closely related. The distance formula is derived from the Pythagorean theorem.
True
Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.
Pythagoras
The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.
It was derived to mathematicians of the time and ever since.
distance formula!
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
the slope formula and the distance formula.