TABLE OF CONTENTS
Find the value of x.
Mr. Pythagoras wouldn't let this triangle into his Pythagorean Triple Club even if it begged.
In this triangle, <em>x</em> is the shortest leg.
Both the legs of the triangle are the same length. That means that in terms of the Pythagorean Theorem, x = a = b.
A triangle has side lengths of , , and . Is the triangle a right triangle?
What's the Converse Pythagorean Theorem again?
No, it is not a right triangle.
Determine whether ∆XYZ is a right triangle and/or a Pythagorean Triple if its points are X (1, 1), Y (1, 7), and Z (9, 1).
A Pythagorean Triple will always make a right triangle.
The triangle is both a right triangle and a Pythagorean Triple.
If the distance between A and B is 26, what is the value of y?
Drawing a line from <em>B</em> down to the <em>x</em>-axis at a right angle might help.
y = 10
The Pythagorean theorem can give us the hypotenuse of the largest triangle. Then, we can use the geometric mean to find a. Once we know a, we can figure out what x is.
x = 2.4