If △ABC is an isosceles triangles with ∠C = 90° and AC = 5 cm, then AB is:
If △ABC is an isosceles triangles with ∠C = = 90° and AC = 5 cm, then AB is:
[A]$latex 5\sqrt{2}cm$
[B]$latex 2.5 cm$
[C]$latex 5 cm$
[D]$latex 10 cm$
$latex \mathbf{5\sqrt{2}}cm$
AC = BC = 5 cm
∴ AB $latex =\sqrt{AC^{2}+BC^{2}}$
$latex = \sqrt{5^{2}+5^{2}} = \sqrt{50} = 5\sqrt{2} cm$
Hence option [A] is the right answer.