Question

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.

Collected in the board: Triangle

Steven Zheng Steven Zheng posted 8 months ago


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

Steven Zheng Steven Zheng posted 8 months ago

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