Question

I triangle AB a=5 b=14 c=12. State whether triangle ABC is a right angle triangle or not. ​

Answer 1

Answer:

no its not a right angle

Answer 2

$Given \:In \: triangle \:ABC,\: a = 5, b = 14 \:and \\c = 12$

$a^{2} = 5^{2} = 25 ,$

$b^{2} = 14^{2} = 196 ,\\and \: c^{2} = 12^{2} = 144$

$i) a^{2} + b^{2} \\= 25 + 196 \\= 221 \\\neq c^{2} \: --(1)$

$ii) b^{2} + c^{2} \\= 196+144 \\= 340\\\neq a^{2} \: --(2)$

$iii) c^{2} + a^{2} \\= 144 + 25 \\= 169 \\\neq b^{2} \: --(3)$

/* From (1), (2) and (3) ,we conclude that */

$\red{ABC \:is \: not \: a \:right \:angle \: triangle}$

$\blue{ Not \: satisfies \: Phythagorean\: theorem )}$

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