Q. 18
If a, b, and c are the sides of a triangle such that a + b = c. Prove that the area of a triangle equals to zero. Find the value for which area is not equal to zero.
Answer :
To Find: Value for which area is not equal to zero.
Given: a, b, and c are sides of the triangle and a + b = c.
Concept Used:
If sides of a triangle are a, b, and c, then area of a triangle is given by:
Where s = semiperimeter of the triangle
Explanation:
Putting, a + b = c
Area = 0
Hence, with the given condition, Area = 0.
Now, we know that the square root does not contain a negative value.
Therefore,
(a + b) > c will give positive values.
Hence, for (a + b) > c, area of the triangle is not equal to zero.
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