Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
ide to answer the question.
Which statement about triangle QRS is true?
Triangle QRS is an equilateral triangle because QR = RS.
Triangle QRS is an isosceles triangle because QR = QS.
Triangle QRS is a scalene triangle because all sides have different lengths.
Triangle QRS is an isosceles triangle because QR = RS.
Which statement about triangle QRS is true?
Triangle QRS is an equilateral triangle because QR = RS.
Triangle QRS is an isosceles triangle because QR = QS.
Triangle QRS is a scalene triangle because all sides have different lengths.
Triangle QRS is an isosceles triangle because QR = RS.
2 answers:
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So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:
So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that
If we replace the factored numerator with the original one, we get:
Since we have an equality, this relation is proved.