Which of the following are measurements of the sides of a right triangle?
a. 3, 4, 5
b. 28, 26, 12
c. 17, 14, 6
d. all of the above
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OpenStudy (anonymous):
if i remember, the 2 smaller #'s should be greater than (idk if equal too)
the larger number
OpenStudy (anonymous):
so d.
OpenStudy (shinalcantara):
for a right triangle you'll use pythagorean theorem
\[c^2 = a^2 + b^2 \]
plug in to 'a' and 'b' the shorter sides since 'c' is the hypotenuse which is the longest side. if it gives the value of c then it is a right triangle
OpenStudy (shinalcantara):
let's check for choice a:
\[c = \sqrt{3^2 + 4^2}\]
what's the value of c?
OpenStudy (anonymous):
5
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OpenStudy (shinalcantara):
then it's a right triangle.
let's check choice b
\[c = \sqrt{12^2 + 26^2}\]
OpenStudy (anonymous):
28.6356......
OpenStudy (shinalcantara):
does it correspond to the third side?
OpenStudy (anonymous):
i don't think so unless u round it down, but im not sure
OpenStudy (shinalcantara):
no? then it's not a right triangle.
let's have choice c
\[c = \sqrt{6^2 + 14^2}\]
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OpenStudy (anonymous):
15.2315...
OpenStudy (shinalcantara):
so what do you think is the answer to that question above?