A right triangle has the length of one leg 11 cm and length of the hypotenuse 61 cm. Calculate the height of the triangle on the side of the hypotenuse.

#### Question

#### Answer

We can use area formula of a triangle to calculate the height.

For the right triangle, we have,

S =\dfrac{1}{2} ab =\dfrac{1}{2}hc

\therefore h=\dfrac{ab}{c}

\quad\quad =\dfrac{11×\sqrt{61^2-11^2} }{61}

\quad\quad=\dfrac{11×60}{61}=10.8