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Find the area of atriangle two sides of which are 18cm and 10cm and the perimeter is 42cm .?
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Find the area of atriangle two sides of which are 18cm and 10cm and th...
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Find the area of atriangle two sides of which are 18cm and 10cm and th...

Calculate the Area of a Triangle:

1. Given Information:
- Two sides of the triangle: 18cm and 10cm
- Perimeter of the triangle: 42cm

2. Calculate the Third Side:
- Perimeter of a triangle = sum of all three sides
- Let the third side be x
- 18 + 10 + x = 42
- x = 42 - 18 - 10
- x = 14cm

3. Calculate the Semi-Perimeter:
- Semi-perimeter = Perimeter / 2
- Semi-perimeter = 42 / 2
- Semi-perimeter = 21cm

4. Apply Heron's Formula to Calculate Area:
- Heron's Formula: Area = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter and a, b, c are the sides of the triangle
- Area = √[21(21-18)(21-10)(21-14)]
- Area = √[21*3*11*7]
- Area = √(21*231)
- Area = √4851
- Area ≈ 69.68 cm²

5. Conclusion:
- The area of the triangle with sides 18cm, 10cm, and 14cm is approximately 69.68 cm².
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