A triangle has sides 35 cm, 54 cm and 61 cm long . Find its area. Also find the smallest of its altitude
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student-name Garvit Bansal asked in Math
A triangle has 3 sides 35cm.,54cm,and 61cm. long .Find it's area. Also, find he smallest of it's altitude.
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student-name Sahil Sharma answered this
519 helpful votes in Math, Class X
a = 35cm
b = 54cm
c = 61cm
s = a+b+c / 2
= 35+54+61 / 2
= 150 / 2
= 75
area = whole root 75(75-35)(75-54)(75-61)
= whole root75*40*21*14
= whole root25*3*2*5*4*7*3*7*2
= 5*3*2*2*7root5
= 420root5
now,
area = 1/2bh
= 1/2*35*h = 420root5
= h = 420*2*root5 / 35
= h = 24root5
student-name Garvit Bansal asked in Math
A triangle has 3 sides 35cm.,54cm,and 61cm. long .Find it's area. Also, find he smallest of it's altitude.
SHARE 2 Follow 3
student-name Sahil Sharma answered this
519 helpful votes in Math, Class X
a = 35cm
b = 54cm
c = 61cm
s = a+b+c / 2
= 35+54+61 / 2
= 150 / 2
= 75
area = whole root 75(75-35)(75-54)(75-61)
= whole root75*40*21*14
= whole root25*3*2*5*4*7*3*7*2
= 5*3*2*2*7root5
= 420root5
now,
area = 1/2bh
= 1/2*35*h = 420root5
= h = 420*2*root5 / 35
= h = 24root5
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