Determine whether the following are Pythagorean triples:
If x, y, and z form a Pythagorean triple, will 3 x, 3 y and 3 z be a Pythagorean triple? Explain your answer.
Name the hypotenuse of each triangle:
Use Pythagoras' theorem to determine whether the following are right-angled triangles:
Determine whether the following represent the sides of a right-angled triangle:
Consider the following right-angled triangle:
Write an equation that can be constructed from the given information.
Given that the length of the hypotenuse of a right-angled triangle is 20, find the two other side lengths that would complete a Pythagorean triple.
A right-angled triangle has side lengths x, y, and hypotenuse z. Will a triangle with side lengths of 2 x, 2 y and 2 z make a right-angled triangle as well? Explain your answer.
Consider the right-angled triangle with sides \left(7, 24, 25\right).
What is the length of the side that is opposite the largest angle?
Find the lengths of the two sides that are next to the right angle.
Three towns Melba, Florey and Giralang are positioned as shown in the diagram:
Which two towns are furthest apart, assuming a direct route is taken?
A group of engineering students have made a triangle out of some wooden strips. They have made a triangle with sides lengths 20, 48, and 52 \text{ m}.
Is the triangle they make a right-angled triangle?
How many metres of wooden strips did they use to make the triangle?
Determine whether the following right-angled triangles can be created using the exact same length of wooden strips: