Find the Area of the Triangle With Given Altitude

Find the Area of the Triangle With Given Altitude

Find area of the triangle with altitude 10, 12 and 15.

[NickDos-rf]

Instead of the artificial variable K, you could use the area of the triangle, say S. Then a=2S/10=12S/60, b=2S/12=10S/60 and c=2s/15=8S/60. Using Heron's formula we get then directly the value of S.

[yt-]

solve the system
10^2(x+y)=12^2(y+z)=15^2(x+z)
the area is then half of these terms above

[Beet]

Sir why constant and also why 60 times of it can please explain