Question

the length of sides of a triangle are 8 cm 18 cm and 82 cm find the length of perpendicular c u r from the opposite vertex to the side whose length is 18 cm
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Answer 1

$Given \: Lengths \: of \:sides \:of \: a\: triangle$

$are \:8 \:cm ,\:18 \:cm \:and \: 82 \:cm$

$But \: from \: given \: lengths \: of \:sides \:$

$doesn't \:form \: a \: triangle .$

$\red{ Reason : }$

$\blue { Sum \:of \:any \:two \:sides \:of \:a }$

$\blue { triangle \:is \: greater \:than \:the}$

$\blue { third \:side )}$

$Here, Sum \: of \: two \:sides$

$= 8 + 18$

$= 26 \gt 88 \: (third \:side )\red {( False) }$

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Answer 2

Answer :

Triangle are not form from these sides

Explanation :

Let, check is it form triangle

As we know that sum of any two sides of triangle is greater than third.

Sum of any two sides = 8cm + 18cm

⇒Sum of any two sides = 26cm

26cm is smaller than third side so it can't form triangle