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murzikaleks [220]
3 years ago
11

The perimeter of this isosceles triangle is 22 cm. If one side is 6 cm, what are the possible lengths of the other two sides? Pa

rt B Explain how you know. Provide at least one reason for your answer.
Mathematics
1 answer:
3241004551 [841]3 years ago
4 0
We know that

<span>the isosceles triangle has two equal sides
</span>
<span>let's analyze two cases
</span>
first case
perimeter=22 cm
<span>let's suppose that the known side of 6 cm is one of the two equal sides
</span>perimeter=6+6+x
22=6+6+x-----> x=22-12----> x=10 cm

answer first case
<span>the possible lengths of the other two sides are
</span>6 cm 
10 cm

second case
let's suppose that the known side of 6 cm is the side that is not equal
perimeter=22 cm
perimeter=6+x+x
22=6+x+x----> 2x=22-6----> 2x=16-----> x=8 cm


answer second case
the possible lengths of the other two sides are
8 cm 
8 cm

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