×

# Area of Triangle!

How do you find the area of a triangle with only altitudes given? Please Comment. Thank "U"

Note by Swapnil Das
1 year, 6 months ago

Sort by:

Area theorem

Denoting the altitudes of any triangle from sides a, b, and c respectively as $$h_a, h_b, \text{ and } h_c$$,and denoting the semi-sum of the reciprocals of the altitudes as $$H = (h_a^{-1} + h_b^{-1} + h_c^{-1})/2$$ we have

$A^{-1} = 4 \sqrt{ H (H - h_a^{-1}) (H-h_b^{-1}) (H-h_c^{-1}) }$

from Altitude · 1 year, 3 months ago

Thanks! · 1 year, 3 months ago