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Given:
In △ABC is a right angle triangle.
AC is 6 units longer than side BC.
To find:
The length of AC.
Solution:
Let the length of BC be x.
So, Length of AC = x+6
According to the Pythagoras theorem, in a right angle triangle
△ABC is a right angle triangle and AC is hypotenuse, so
Subtract 68 from both sides.
Divide both sides by 2.
Splitting the middle term, we get
Side cannot be negative, so x=2 only.
Now,
Therefore, the length of AC is 8 units.
Yes, parentheses can change the order in which operations are performed in an expression.
Let us understand this with two examples.
First example.
Let us suppose we have to simplify the expression
In this expression we have evaluated subtraction first instead of multiply.
Second example.
Let us suppose we have to simplify the expression
In this expression we have evaluated multiplication first and then subtraction.
Therefore, from above two examples we can see that parentheses can change the order in which operations are performed in an expression.