What is an congruent number

Mathematics

2 answers:

slava [35]3 years ago

6 0

A congruent number N is the area of a right triangle whose sides are all rational numbers (a number that can be stated as a fraction, not something like pi or e).

For example, consider the right triangle with side lengths 3, 4, 5. The area of this triangle is $\frac{(3)(4)}{2} = 6$ . Thus, 6 is a congruent number. The area of a triangle with sides that are any set of the Pythagorean Triples will be a congruent number. I have attached a more precise definition for you from a math blog at UConn (don't let the technical definition confuse you!).

Alex787 [66]3 years ago

4 0

A congruent number is a positive integer that is the area of a right triangle with three rational number sides.

You might be interested in

HELP!!!!!<br> If anyone knows the answer please tell me as soon as possible PLEASE!!!!

I am Lyosha [343]

Answer:

Trapezium (An acute trapezium to be exact)

Step-by-step explanation:

Draw all four co-ordinates on a cartesian plane. We know these co-coordinates are the vertices (corners), so draw a line connecting all four points and observe what shape you have.

Your reasoning for why it is a trapezium can include the following points.

Trapeziums are a flat, closed shape, having 4 straight sides, with one pair of parallel sides.

We can say its an acute trapezium since the bottom two angles are unequal and both measure less than 90 degrees