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Vikki [24]
2 years ago
11

The length of 2 sides of a triangle are 12 inches and 4 inches. Which is the third side?

Mathematics
1 answer:
Westkost [7]2 years ago
7 0

Answer:

Let x = the third side

 

In a triangle, the sum of any 2 sides must be larger than the third side.

I believe this is called the triangle inequality theorem.

 

We can construct 3 inequalities to obtain the range of values for the third side.

 

  (Inequality #1)   12 + 4 > x

                                  16 > x

 

  (Inequality#2)    12 + x > 4

                                    x > -8   (we can discard this ... we know all sides will be positive)

 

  (Inequality #3)   4 + x > 12

                                   x > 8

 

So when we combine these together,  

 

   8 < x < 16

 

X (the third side) must be a number between 8 and 16. but not including 8 and 16

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Step-by-step explanation:

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1 is at units place, 0 is at four's place and 2 is at 4 squared place.

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2 is at units place and 3 is at four's place.

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Start subtracting the numbers from the unit place.

Here, we need to subtract 2 from 1, which is not possible so borrow 4 from the four's place but there is 0 at four's place so borrow from 4 squared place and change 2 to 1.

Also change 0 to 4 because we have borrow 4 from squared place.

Now 1 can borrow 4 from the four's place which will become 1+4=5 and change 4 at four's place to 3.

Now the number will look like this:

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Now subtract the number as shown.

135

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Hence, the required answer is (201)_4-(32)_4=(103)_4.

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