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Oct 19, 2016
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Oct 19, 2016
 #2
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Try making equations and variables for each side to solve for.

Sides will be represented by their respective variable letter here, for example:

 

a = 2b

 

c = a+1

This means that since a=2b, c=(2b)+1.

Now that we know our variables or what to solve for, we piece it together:

76 is what we're looking for / negating,

a+b+c is the triangle's equation,

and using the information above, we can flesh out this equation to use as few variables as possible.

 

76 = a + b + c

...turns into...

76 = (2b) + b + (2b+1)

...and by adding like terms (all coefficients, or numbers accompanied by a variable with each other as well as exponent bases and normal numbers), we get...

76 = 5b + 1

Negate the 1 by subtracting it from both sides, and you get:

75 = 5b

Now all we need to do is divide both sides by 5 to get the variable b alone, giving us its value:

75 / 5 = 15

5b / 5 = b

 

15 = b

And to figure out the other variables, or sides, we plug b's value into the other equations for sides:

a = 2(15)

c = (2(15))+1

so

a = 30

c = 31

 

Meaning the full equation is:

76 = 15 + 30 + 31

This is true, meaning the answers are correct.

 

tl;dr

You only need one number, and as long as the other variables are solvable relative to each other, you can find their value by negation.

30 cm, 15 cm, and 31 cm.

 

(If you have trouble with other problems like this, I implore you to read through what's mentioned if you haven't already. It's a good strategy, and you can even perfect it by using one variable as opposed to several due to the fact that they equal different operations/variants of each other.)

 

Cheers,

PG

Oct 19, 2016
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Oct 19, 2016
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Oct 19, 2016
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Oct 19, 2016
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Oct 19, 2016

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