Question

If the two legs of a right angled triangle are equal and the square of the hypotenuse is $100c{m}^2$, then the length of each leg is _________.

• A. $10$cm
• B. $5\sqrt{2}$cm
• C. $10\sqrt{2}$cm
• D. $13\sqrt{2}$cm

Answer 1

The correct option is B $5\sqrt{2}$cm

given that

two legs of a right angled triangle are equal and

hyptenuse $=h$

$h^2=100c{m}^2$

$h=10cm$

now applying pythagorous theorem

$h^2=B^2+P^2$ $B=P$ as per the question

$\Rightarrow 100=2B^2$

$\Rightarrow 50=B^2$

$\Rightarrow B=P=5\sqrt{2}cm$