Math, asked by Niks8936, 9 months ago

दर्शाइए कि किसी समबाहु त्रिभुज का प्रत्येक कोण 60° होता है।

Answers

Answered by amitnrw
46

समबाहु त्रिभुज का प्रत्येक कोण  60°  है

Step-by-step explanation:

समबाहु त्रिभुज  ABC

AB = BC = AC

AB/SinC = BC/SinA = AC/SinB

SinC  = SinA = SinB

=> ∠C = ∠A = ∠B

∠A = ∠B = ∠C

∠A + ∠B + ∠C = 180°

=> ∠A + ∠A + ∠A = 180°

=> 3∠A = 180°

=>  ∠A = 60°

∠A = ∠B = ∠C = 60°

समबाहु त्रिभुज का प्रत्येक कोण  60°  है

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