If-you-are-given-a-triangle-with-side-length-15-20-and-25-what-is-the-triangle-s-shortest-altitude-

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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