If you are given a triangle with side length 15 , 20 and 25. what is the triangle′s shortest altitude?


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Question Number 104235 by bemath last updated on 20/Jul/20

$I f y o u a r e g i v e n a t r i a n g l e$ $w i t h s i d e l e n g t h 15, 20 a n d$ $25 . w h a t i s t h e {t r i a n g l e}^{'} s$ $s h o r t e s t a l t i t u d e ?$
	Answered by nimnim last updated on 20/Jul/20

	$(15, 20, 25) i s a P y t h a g o r e a n t r i p l e .$ $t h e n a r e a (△) = \frac{1}{2} \times 15 \times 20 = 150$ $∴ S h o r t e s t a l t . = \frac{2 \times (△)}{l o n g e s t s i d e} = \frac{2 \times 150}{25} = 12 u n i t s .$
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