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fenix001 [56]
3 years ago
13

Please answer this question ..... u got a different solution!!!!

Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

The lengths of the 3 sides are 16.95, 20.95 and 26.95.

Step-by-step explanation:

If the shortest side is of length x cm. then the hypotenuse = (x+10) cm and the third side = (x + 10 - 6) = x + 4 cm.

By Pythagoras:

(x + 10)^2 = x^2 + (x + 4)^2

x^2 + 20x + 100 = x^2 + x^2 + 8x + 16

0 = x^2 - 12x - 84

x = [-(-12) +/- √(144 - 4*1*-84) ] / 2

=  12 +/- √480 / 2

x  = 16.95,  -4.95.

As x is the length of one side it cannot be negatiive so

x = 16.95.

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