Which set of side lengths defines a right triangle?
A.
4, 8, 9
B.
5, 9, 10
C.
6, 10, 13
D.
7, 24, 25
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Nnesha (nnesha):
to test if given number defines a right triangle you have to use Pythagorean theorem
\[\huge\rm a^2 +b^2 = c^2\] plug in a b and c value
remember c is the longest side if right triangle
if both sides are equal then yes those 3 lengths makes a right triangle
Nnesha (nnesha):
for example A)
4 . 8 , 9 c is 9 because it's the bigger number
\[4^2 + 8^2 = 9^2\]
solve it and let me know if both sides are equal or no :-)
OpenStudy (anonymous):
it equals 161 @Data_LG2
OpenStudy (anonymous):
wait i think i did it wrong im not sure
OpenStudy (anonymous):
ok its not equal i did it again
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OpenStudy (anonymous):
and i tagged the wrong person xD
Nnesha (nnesha):
what did you get at left side and what u got at right side ?
Nnesha (nnesha):
yep try again
OpenStudy (anonymous):
for the left i got 80 and for the right 81
Nnesha (nnesha):
so both sides are not equal that's mean nope 4 , 8 and 9 are not makes right triangle now try answer choices
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OpenStudy (anonymous):
i got D
Nnesha (nnesha):
both sides are equal ?
OpenStudy (anonymous):
yep
Nnesha (nnesha):
gO_Od to go! :-)
OpenStudy (anonymous):
thanks for the help :)
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