The area of a triangle is 150 cm2 and its sides are in the ratio 3 : 4 : 5. What is its
perimeter?
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Answers
Answer:
Given :
• Area of a triangle = 150 cm².
• Ratio of its sides = 3 : 4 : 5.
To find :
• the perimeter of the triangle.
Solution :
• Let the first side be 3x.
• Let the second side be 4x
• Let the third side be 5x.
Semi - perimeter =[tex]\dfrac{3x + 4x + 5x}{2 }[/tex]
• Semi - perimeter = 6x.
• We know that,
area of a triangle = √s(s-a)(s-b)(s-c)
According to the question :
• Area = 150 sq.cm.
150 = √6x(6x-3x)(6x-4x)(6x-5x)
150 = √6x(3x)(2x)(x)
x = 5
• Perimeter = a + b + c
• Perimeter = ( 15 + 20 + 25 ) cm.
• Perimeter = 60 cm.
Answer :
• So the perimeter of the triangle = 60 cm
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Thanks
Answer:
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