If you have a right triangle with the 2 legs having lengths 16 and 12 what is the length of the hypotenuse (longest side)?
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Answer:
The length of longest piece is <em>105 cm.</em>
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Step-by-step explanation:
<u>Given</u>:
Rope is 245 cm long.
Ratio of lengths of first to second piece = 2:3.
Ratio of lengths of second to third piece = 4:5.
<u>To find:</u>
Length of longest piece = ?
<u>Solution:</u>
We are given the ratio of first and second pieces AND
ratio of second and third pieces.
Common link is second piece.
We need to make the ratio of second piece equal in both the ratio to find the ratio of all three pieces.
2:3
4:5
Multiply 1st ratio by 4 and 2nd ratio by 3:
Now, the ratio becomes:
8:12 and 12:15
And the ratio of three pieces can be represented as:
<em>8: 12: 15</em>, this ratio is the <em>first piece: second piece: third piece</em>
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So, the pieces lengths will be
First piece = cm
Second piece = cm
Third piece = cm
So, the length of longest piece is <em>105 cm.</em>