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The sides of a triangle are x, y and z. If x + y = 7 m, y + z = 9 m, and z + x = 8 m, then area of the triangle is :
  • a)
    6 m2
  • b)
    5 m2
  • c)
    7 m2
  • d)
    4 m2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The sides of a triangle are x, y and z. If x + y = 7 m, y + z = 9 m, a...
x + y = 7....(1)
y + z = 9....(2)
z + x = 8....(3)
So, 2(x+y+z) = 24
x+y+z = 12
Now, y + z = 9  then x = 3
z + x = 8 then y = 4
x + y = 7 then z = 5
We can see that, this becomes a right angled triangle.
Hence, Area of triangle = 1/2 * base * perpendicular
= 1/2 * 4 * 3
= 6 sq unit.
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Community Answer
The sides of a triangle are x, y and z. If x + y = 7 m, y + z = 9 m, a...
The answer for this question is 6m^2. In this x+y= 7m, y+z=9m and z+x= 8m. By trial and error method and substituting the values of x,y,z we will get x=3m, y=4m and z=5m. The 3 sides of triangle are 3m, 4m, and 5m. Using herons formula s= x+y+z/2 and √s(s-a)(s-b)(s-c) will get the answer as 6m^2.
Hope it helps a lot....
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