find the area of a triangle two sides of which are 18cm and 10cm and the perimeter is 42
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Step-by-step explanation:
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Answer:
Perimeter of a Triangle = Sum of 3 sides of a Triangle.......
Step-by-step explanation:
Since,Two of its sides are 18cm and 10cm ......
Let the third side be x,
THEREFORE,
Perimeter = x + 10 + 18;
since Perimeter = 42 (Given).....
therefore: 42 = x + 10 + 18
42 = x + 28
x = 42 - 28
x = 14
So the third side = 14 cm.....
NOW in order to find the area:
A=s(s﹣a)(s﹣b)(s﹣c)
P=a+b+c
s=a+b+c
2
Solving forA
A=1
4﹣P4+4P3a+4P3b﹣4(Pa)2﹣12P2ab﹣
4(Pb)2+8Pa2b+8Pab2=1
4·﹣424+4·423·18+4·423·10
﹣4·(42·18)2﹣12·422·18·10﹣
4·(42·10)2+8·42·182·10+8·42·18·102≈69.64912cm²
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