Question

From given figure what is the value of $OC$ using Pythagoras theorem

• A. $10$
• B. $12$
• C. $13$
• D. $15$

Answer 1

Answer: (D)

$15$

In a right angled triangle, $a^2+b^2=h^2$, where $a$ and $b$ are the lengths of the legs and $c$ is the length of the hypotenuse. This is called Pythagoras Theorem.

$OD=8,OC=x,CD=$ hypotenuse side $=17$

Therefore, $8^2+O{C}^2={17}^2$

$\Rightarrow 289-64=$ $O{C}^2$

$\Rightarrow O{C}^2$ $=225$

Taking square root on both sides, we get

$\therefore OC=15$.