Question
Can a right-angled triangle be an isosceles triangle DrBob222
Answers
GPT-4o mini
Yes, a right-angled triangle can also be an isosceles triangle. An isosceles triangle is defined as a triangle that has at least two sides of equal length. In the case of a right-angled triangle, if the two sides that form the right angle are of equal length, then the triangle is both right-angled and isosceles.
For example, consider a right triangle with sides of length \(a\), \(a\), and the hypotenuse being \(\sqrt{a^2 + a^2} = a\sqrt{2}\). This triangle has two sides of equal length \(a\) and satisfies the properties of both right-angled and isosceles triangles.
For example, consider a right triangle with sides of length \(a\), \(a\), and the hypotenuse being \(\sqrt{a^2 + a^2} = a\sqrt{2}\). This triangle has two sides of equal length \(a\) and satisfies the properties of both right-angled and isosceles triangles.