A triangle has sides 35cm,54cm and 61cm long.Find its area and hence find the smallest of its altitudes.
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A= 35
B=54
C=61
So = 35+54+51/2
150/2
= 75
Area of triangle
= under the root (s(s-a)(s-b)(s-c)
Under the root( 75×40×21×14)
420under the root 5 cm^2
For the smallest altitude base =61
1/2 ×h1 ×61 = 420 under the root 5
H1 = 840/61under the root 5
B=54
C=61
So = 35+54+51/2
150/2
= 75
Area of triangle
= under the root (s(s-a)(s-b)(s-c)
Under the root( 75×40×21×14)
420under the root 5 cm^2
For the smallest altitude base =61
1/2 ×h1 ×61 = 420 under the root 5
H1 = 840/61under the root 5
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