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STD 11 - rectangular cartensian co-ordinates — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - rectangular cartensian co-ordinates4 Marks
Question
A quadrilateral has distinct integer side lengths. If the second-largest side has length $10$, then the maximum possible length of the largest side is
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Answer

b
(b)

We have, side of quadrilateral has distinct integer second largest size has length $10.$

Let $a=8, b=9, c=10$, (All are distinct) We know, in quadrilateral Sum of three sides is greater than fourth side

$\therefore a+b+c>d \Rightarrow 8+9+10 > d \Rightarrow d < 27$

$\therefore$ Maximum length of $4$th side is $26.$

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