Question

If c=12 find a right triangle 90 degrees 45 degrees 45 degrees

Answer 1

If is a triangle 90°, 45°, 45° then the sides are in ratio 1 : 1 : √2.

If c = 12 is a hypotenuse, therefore we have the equation:

$a\sqrt2=12\ \ \ \ |\cdot\sqrt2\\\\2a=12\sqrt2\ \ \ \ |:2\\\\\boxed{a=6\sqrt2}$

If c = 12 is a leg, therefore we have:

$\boxed{a=12\sqrt2}$