SOLUTION: Which of the following side lengths do NOT form a right triangle?
A. 5 cm, 12 cm and 13 cm
B. 8 cm, 15 cm and 17 cm
C. 9 in, 40 in and 41 in
D. 20 in, 21 in and 28 in
Algebra.Com
Question 660337: Which of the following side lengths do NOT form a right triangle?
A. 5 cm, 12 cm and 13 cm
B. 8 cm, 15 cm and 17 cm
C. 9 in, 40 in and 41 in
D. 20 in, 21 in and 28 in
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
In other words, find where a^2 + b^2 does NOT equal c^2, which is only true for a right triangle.
A. Does 5^2+12^2=13^2
25 + 144 = 169 and 13^2=169
Yes, right triangle
B. Does 8^2+15^2=17^2
64 + 225 = 289 and 17^2=28
Yes, right triangle
C. Does 9^2+40^2=41^2
81 + 1600 = 1681 and 41^2=1681
Yes, right triangle
D. Does 20^2+21^2=28^2
400 + 441 = 841 and 28^2=784
No, not a right triangle
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