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GrogVix [38]
3 years ago
6

Can atriangle be formed with side lengths of 5cm. 10cm and 15cm

Mathematics
2 answers:
snow_lady [41]3 years ago
6 0
Remember
longest side must be less than the sum of the other 2 sides because if it is eqal than you get a line, and if it is longer, then you cannot connect the points

longest side is 15
15<10+5
15<15
fasle

no triangle can be formed
andreyandreev [35.5K]3 years ago
3 0
Theorem of cosine:
a²=b²+c²-2bc(cos α)  ⇒cos α=-(a²-b²-c²) / 2bc

In this case:
a=15 cm
b=10 cm
c=5 cm

cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1

A=arc cos -1=180º  This is impossible, because:

A+B+C=180º; then  B=C=0º  This is impossible for make a triangle  (B>0 and C>0 if we want to make a triangle).  

Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.

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Answer:

equation 1

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equation 2

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Solution to both

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Step-by-step explanation:

We need to get the equations of both lines

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y = mx + c

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Table 1

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we get the slope

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y = -2(1)

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(1,-2)

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