Question

The two sides of a right angled triangle are $15\text{cm}$ and $5\sqrt{7}\text{cm}$. Then its hypotaneous side iscm

Answer 1

For a right angled triangle, we know the sum of squares of base and altitude is equal to square of hypotaneous.

So, ${15}^2+(5\sqrt{7}{)}^2=(225+25\times 7)=225+175=400={20}^2$

Hence, hypotaneous is $20\text{cm}$.