two side of a triangle are 4 cm and 8 cm then which of the following condition then describe the length of the third side
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Answer:
4 < a < 12 cm
Step-by-step explanation:
In triangles, sum of any two random sides is always greater than the third side, if not, then that triangle can't be formed.
So, here, let other side be 'a'.
⇒ 4 cm + 8 cm > a
⇒ 12 cm > a
Similarly,
4 + a > 8
⇒ a > 8 - 4
⇒ a > 4
Or, 8 + a > 4
a > 4 - 8
a > - 4 , neglect this case, as a is already greater than 4.
Hence the other side must be lesser than 12 cm and greater than 4 cm
4 < a < 12 cm
Step-by-step explanation:
In triangles, sum of any two random sides is always greater than the third side, if not, then that triangle can't be formed.
So, here, let other side be 'a'.
⇒ 4 cm + 8 cm > a
⇒ 12 cm > a
Similarly,
4 + a > 8
⇒ a > 8 - 4
⇒ a > 4
Or, 8 + a > 4
a > 4 - 8
a > - 4 , neglect this case, as a is already greater than 4.
Hence the other side must be lesser than 12 cm and greater than 4 cm
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