The lengths of sides of a triangle are in the ratio 3: 3: 4 and its perimeter is 120 cm, find its area.(heron's formula)
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Answered by
0
Answer:
36cm, 36cm, 48cm
Step-by-step explanation:
Total = 3+3+4 = 10
3/10 + 3/10 + 4/10 = 120
Side 1 = 3/10 × 120 = 360/10 = 36 cm
Side 2 = 3/10 × 120 = 360/10 = 36 cm
Side 3 = 4/10 × 120 = 480/10 = 48cm
Answered by
1
Step-by-step explanation:
perimeter of triangle = a + b + c
120 = 3x +3x + 4x
x = 12
sides of the traingle
a =36cm
b= 36cm
c= 48cm
herons formula
s = (a+ b +c)/2
= 120/2
= 60cm
area of triangle = √[ s(s-a)(s-b()s-c) ]
= √[ 60(24)(24)(12)
= √ 41472
= 643.79 cm^2
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