if PQ=21 cm and QR=5cm, then what are the possible lengths for PR so that line PQ, line QR, and line PR can form a triangle? exp
lain your reasoning
2 answers:
PR must be less than 26cm as PQ + QR = 26cm
PR must be more than 16cm as PD- QR = 16cm
At both those limits the sides would lay on top of each other.
Let
x---------> the possible lengths for PR
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
case 1)
cm
case 2)
cm
case 3)
cm
so
therefore
the answer is
PR must be less than cm and must be more than cm
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