perimeter of a triangle is 64cm one side is 24 second side is 20 cm longest than three side. Find the second and third side.
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Required Answer :
- Second side = 30 cm
- Third side = 10 cm
Given :
• Perimeter of the triangle = 64 cm
• One of the side of the triangle = 24 cm
• The second side is longer than the third side than 20 cm.
To find :
• Second and third side of the triangle
Solution :
Let,
- Third side of the triangle = x
- Second side of the triangle = x + 20 cm
Using formula,
- Periemter = a + b + c
where,
- a, b and c are the three sides of the triangle
Substituting the given values :-
→ 64 = x + x + 20 + 24
→ 64 = 2x + 44
→ 64 - 44 = 2x
→ 20 = 2x
→ 10 = x
Substituting the value of 'x' in the sides of the triangle :-
→ Third side = x
→ Third side = 10 cm
→ Second side = x + 20
→ Second side = 10 + 20
→ Second side = 30 cm
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