The lengths of the sides of a triangle are in the extended ratio 3:7:8. The triangle’s perimeter is 72 in. What are the lengths of the sides?
2 answers:
This is simple. First we write the equation as: 3x+7x+8x = 72. We now simplify terms to get: 18x=72 Divide and get x=4. Sadly, more work is needed. We now need to plug in the variables into the ratio 3*4=12 4*7=28 4*8=32 So the side lengths are 12 in., 28 in., and 32 in. respectively
Answer:
The sides of the triangle are : <span>24cm,28cm</span> and <span>36cm</span>
Explanation:
The ration of lengths are: <span>6:7:9</span>
Let the sides be denoted as: <span>6x,7x</span> and <span>9x</span>
The perimeter <span>=88cm</span>
<span>6x+7x+9x=88</span>
<span>22x=88</span>
<span>x = </span>
<span>x=4</span>
The sides can be found as follows: <span>6x=6×4=24cm</span>
<span>7x=7×4=28cm</span>
<span>9x=9×4=36c<span>m</span></span>
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