The side of a tringle are in the ratio 1:2:3.If the perimeter is 30 .find the side
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Answer:
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Step-by-step explanation:
- Perimeter of triangle =30cm
- Ratio of its sides are =1:3:2
- sides are x,3x,2x
- x+3x+2x=30cm
- 6x=30
- x=5cm
Answered by
3
Given :
• The ratio of the sides of a triangle = 1 : 2 : 3
• Perimeter of the triangle = 30 units
To find :
• Sides of the triangle
Solution :
Let,
- The first side of triangle = 1x
- The second side of triangle = 2x
- The third side of triangle = 3x
Using formula,
→ Perimeter = a + b + c
where,
• a = First side of triangle
• b = Second side of triangle
• c = Third side of triangle
Substituting the given values :-
→ 1x + 2x + 3x = 30
→ 6x = 30
→ x = 30 ÷ 6
→ x = 5
→ The value of x = 5
Substitute the value of 'x' in the sides of triangle which we've assumed :-
→ First side = 1x
→ First side = 5 cm
→ Second side = 2x
→ Second side = 2(5)
→ Second side = 10 cm
→ Third side = 3x
→ Third side = 3(5)
→ Third side = 15 cm
Therefore, the three sides of the triangle are 5 cm, 10 cm and 15 cm
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