Sides of a triangle are in the ratio of 3 : 4 : 5 and its semiperimeter is 60 cm. Find its area.
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Answered by
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Step-by-step explanation:
Semi-perimeter = 60 cm
Perimeter = 2 × 60 cm
= 120 cm
Let the sides of a triangle be 3x , 4x and 5x respectively.
Perimeter of triangle = 3x + 4x + 5x
=> 120 cm = 12x
Therefore, x = 120÷12
= 10 cm
1st Side = 3x
= 3 × 10 cm
= 30 cm
2nd Side = 4x
= 4 × 10 cm
= 40 cm
3rd Side = 5x
= 5 × 10 cm
= 50 cm
Answered by
0
Answer:
Area of triangle = 600cm^2
Step-by-step explanation:
Given; Semi-perimeter = 60 cm
Ratio= 3:4:5
∴ 3x+4x+5x / 2= 60cm
12x/2= 60cm
∴ x= 60/12*2 =10cm
3x = 3 × 10 cm =30 cm
4x =4 × 10 cm =40 cm
5x = 5 × 10 cm =50 cm
∴ Area of triangle = √s(s-a)(s-b)(s-c) {the whole root}
=√60(60-30)(60-40)(60-50)
=√60*30*20*10
=600cm^2
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