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A triangular land having area of 336 sq meter and perimeter 84 meter has length of an edge 26 meter. Calculate the measurement of remaining two sides.

User CeccoCQ
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1 Answer

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Let's call the two remaining sides of the triangular land "a" and "b".

From the area and perimeter, we can find the length of the sides using the following formula:

Area = (a * b) / 2

And the perimeter is given by:

Perimeter = a + b + 26

We can substitute the given values for the area and perimeter:

336 = (a * b) / 2
84 = a + b + 26

Expanding the first equation:

672 = a * b

Solving for a in the second equation:

a = 84 - b - 26

Substituting the value of a in the first equation:

672 = (84 - b - 26) * b / 2

Expanding and simplifying the equation:

672 = 42b - 26b - 13 * b

Rearranging the equation:

672 = 9b - 338

Adding 338 to both sides:

1010 = 9b

Dividing both sides by 9:

b = 112.2

Finally, substituting the value of b back into the equation for a:

a = 84 - b - 26 = 84 - 112.2 - 26 = -54.2

Since a and b are the lengths of sides of a triangle, they must be positive values. The negative value for a means that the calculation is incorrect, and the given information is not sufficient to find the length of the remaining sides
User Apalabrados
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