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Question 56
The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length 1 cm, 2 cm and 4 cm, then the total number of possible lengths of the fourth side is
Solution
Sum of the three sides of a quadrilateral is greater than the fourth side.
Therefore, let the fourth side be
1+2+4>d or d<7
1+2+d>4 or d>1
Possible values of d are 2, 3, 4, 5 and 6.
Video Solution
Your Doubts
Hello Team.
I tried to solve the question using triangles property that,
diff btw two sides of a triangle < third side < sum of other two sides
And was getting only these 3 cases.
Albeit the explanation given is much better and more efficient but would like to know, why this method didn't work, if possible.
Thankyou.
Kushal Reddy
Faculty
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