Question

A square is drawn
on the hypotenuse
of the topmost right
triangle. Calculate
the area and the length
of a side of the square?​

Answer 1

Applying Pythagoras theorem for right-angled triangle ,

.

Which will give us in following right -angled triangle:-

In ∆ BAD,

BA ⊥ AD

=>BA^2+AD^2=BD^2

$= > bd = \sqrt{12 + 12} \\ = > \sqrt{2} \: metre$