Question

Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

Answer 1

Use the Pythagorean theorem.

\( \color{Black}{\Rightarrow 1^2 + 1^2 = c^2 }\)

Answer 2

Isosceles means that In a triangle any two sides are equal in length..

As it is a right angled triangle, so its two sides are of 1 unit length and there is one hypotenuse length of which is to be found..

So,\[H^2 = 1^2 + 1^2\]

\[H = \sqrt{2}\]

Hypotenuse Length = \[\sqrt{2}\] units..