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trapecia [35]
3 years ago
14

the hypotenuse and a side of a right angled triangle are 13cm and5cm respectively. fined the length of the third side​

Mathematics
2 answers:
alexgriva [62]3 years ago
8 0

Answer:

<h2>Lenght of the third side =12</h2>

Step-by-step explanation:

hypotenuse = 13 \\ opposite = 5 \\ adjacent = x \\  {hyp}^{2}  =  {opp}^{2}  +  {adj}^{2}  \\

{13}^{2}  =  {5}^{2}  +  {x}^{2}  \\ 169 = 25 +  {x}^{2}  \\ 169 - 25 =  {x}^{2}  \\ 144 =  {x}^{2}

\sqrt{144}  =  \sqrt{ {x}^{2} }  \\ 12 = x

eduard3 years ago
5 0

Answer:

If the third side is the hypotenuse, then (using the Pythagorean Theorem) the square of its length is the sum of the squares of the other two sides:  132+52 , so the length of the hypotenuse is √194=13.92838827718412...  

However, it is also possible to have a right triangle with a hypotenuse of 13 cm and one side of 5 cm, in which case the third side would be:  √132−542=12.  

Of course, the second answer may seem “nicer” but both are correct and the question is ambiguous.

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