What have Fibonacci numbers got to do with Pythagorean triples?
The sides of a triangle are 25, 39 and 40 units of length. Find the diameter of the circumscribed circle.
This article discusses how every Pythagorean triple (a, b, c) can be illustrated by a square and an L shape within another square. You are invited to find some triples for yourself.
Prove that for every right angled triangle which has sides with
integer lengths: (1) the area of the triangle is even and (2) the
length of one of the sides is divisible by 5.
If the altitude of an isosceles triangle is 8 units and the perimeter of the triangle is 32 units.... What is the area of the triangle?
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
This is the second article on right-angled triangles whose edge lengths are whole numbers.
Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2
The first of two articles on Pythagorean Triples which asks how many right angled triangles can you find with the lengths of each side exactly a whole number measurement. Try it!
The incircles of 3, 4, 5 and of 5, 12, 13 right angled triangles
have radii 1 and 2 units respectively. What about triangles with an
inradius of 3, 4 or 5 or ...?
Can you find some Pythagorean Triples where the two smaller numbers differ by 1?