Question

Determine whether the triangle
having side (a-1) cm 2√a cm and (a+1) is a right angled triangle​

Answer 1

$\:\: \underline{\underline{\bf{\large\mathfrak{~~solution~~}}}}$

$\sqrt{(a - 1) {}^{2} + (2 \sqrt{a} ) {}^{2}} \\ = \sqrt{a {}^{2} - 2a + 1 + 4a } \\ = \sqrt{a {}^{2} + 2a + 1} \\ = \sqrt{ (a + 1) {}^{2} } \\ = (a + 1)$

that is it satisfies the Pythagorean theorem so..these can be the sides of a right angled triangle