Answer:
Irrational numbers
Step-by-step explanation:
Any irrational number plus a rational number like (5/8) creates another irrational number.
Multiples of 3 plus 1 remainder are:
3n+1
Multiples of 4 plus 1 remainder are:
4n+1
Since these multiples must be the same number must be a multiple of 12 plus a remainder of one, which is:
12n+1
And the smallest such three digit number is:
12n+1>99 subtract 1 from both sides
12n>98 divide both sides by 12
n>8.17
Since n must be an integer, n=9
So then number is 12n+1
12(9)+1=109
Proving the converse of the Pythagorean Theorem means proving that if the <u>sum</u> of the squares of the lengths of the <u>shorter</u> sides of a triangle equals the square of the length of the <u>longest</u> side, then the triangle is a right angle triangle.
Here's the equation:
(short side)² + (short side)² = (long side)²
