6.The difference of semi-perimeter and the sides of triangle ABC are 8 cm, 7 cm and 5 cm respectively. Its semi-perimeter is.
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Appropriate Question:
- Two sides of a triangle are 5 cm and 7 cm and its semi-perimeter is 10 cm. Then the third side of the triangle is?
Given:
- Semi Perimeter of a triangle is 10 cm.
- Two sides of triangle are 5 cm and 7 cm respectively.
To find:
- The third side of the triangle.
Solution:
Let the third side of the triangle be c cm and other sides be a is 5 cm and b is 7 cm respectively.
As we know that,
★ Semi perimeter = Sum of all sides (a + b + c)/2
→ S = 5 + 7 + c/2
→ 10 = 12 + c/2
→ c = 20 - 12
→ = 8 cm ★
•°• Hence, the third side of the triangle is 8 cm.
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