two sides of a right triangle measure 15 cm and 17cm.Whichof the following statements can be true of the length of third side of the triangle?
A.it is between 4cm and 7cm.
B. It is between 20cm and 23cm.
C. it is less than 10 cm.
a)B and C only b) A and C only
c)B only d)A and B only
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Samm9900:
if you take 15 and 17 as perpendicular sides , third side will be appx 22.6 and so B and C can be correct
ok thanks
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Answer:
Case 1: Consider 17 as hypotenuse
then sides will be 8,15,17 and third side will be 8cm(By Pythagoras thm)-(1)
Case 2 : Consider 17 and 15 as perpendicular sides, then hypotenuse will be √514 = 22.6(appx) -(2)
By 1 and 2, the third side can be either 8 or 22.6; thus B and C can be true:answer option a)
[ Also 15 cannot be taken as hypotenuse since it must be the longest (as 17>15)]
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