Question

Find the exact length of the third side. 52 48

Answer 1

Answer:

Here in diagram

• this is a Right angled triangle
• where
• hypontenuse =h=52
• Base=b=48

We need to find

• perpendicular =p

According to Pythagorean theory

${\boxed{\sf h^2=p^2+b^2}}$

$\qquad\quad {:}\longrightarrow\tt p^2=h^2-b^2$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {h^2-b^2}$

• Substitute the values

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{52^2-48^2}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {2704-2304}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{400}$

$\qquad\quad {:}\longrightarrow\tt p=20$