A:
17 cm, 8 cm, 10 cm
B:
22 cm, 12 cm, 9 cm
C:
12 cm, 22 cm, 8 cm
D:
8 cm, 17 cm, 9 cm
Which lengths could be the sides of a triangle?
2017-05-28 12:04 pm
回答 (5)
2017-05-28 12:12 pm
Any two sides must be longer than the third side, and every side must be longer than the difference of the other two sides.
A. 8+10 > 17. True
B. 12+9 < 22 False
C. 12+8 < 22 False
D. 9+8 = 17 False ← could be a degenerate triangle or a triangle with zero height, AKA straight line segment
Only the lengths described in A could be the sides of a non-degenerate triangle.
A. 8+10 > 17. True
B. 12+9 < 22 False
C. 12+8 < 22 False
D. 9+8 = 17 False ← could be a degenerate triangle or a triangle with zero height, AKA straight line segment
Only the lengths described in A could be the sides of a non-degenerate triangle.
2017-05-28 12:11 pm
In a triangle, the sum of the two shorter sides must be greater than the longest side.
A.
(8 + 10) cm = 18 cm > 17 cm
This could be a triangle.
B.
(12 + 9) cm = 21 cm < 22 cm
This is NOT a triangle.
C.
(12 + 8) cfm = 20 cm < 22 cm
This is NOT a triangle.
D.
(8 + 9) cm = 17 cm = 17 cm
This is NOT a triangle.
The answer: A: 17 cm, 8 cm, 10 cm
A.
(8 + 10) cm = 18 cm > 17 cm
This could be a triangle.
B.
(12 + 9) cm = 21 cm < 22 cm
This is NOT a triangle.
C.
(12 + 8) cfm = 20 cm < 22 cm
This is NOT a triangle.
D.
(8 + 9) cm = 17 cm = 17 cm
This is NOT a triangle.
The answer: A: 17 cm, 8 cm, 10 cm
2017-05-28 1:15 pm
A
2017-05-28 12:12 pm
Add the lengths of the 2 shorter legs. They must be greater than the length of the longest leg
2017-05-28 3:32 pm
The sum of the two smaller sides of a triangle must be more than the largest side or it can't be constructed.
The answer is A.
The answer is A.
收錄日期: 2021-04-24 00:31:03
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