Math, asked by AnamitraBhaumik, 9 months ago

PS²+SR²+RQ²+QP²=360°​

Answers

Answered by HappinessnFaith
1

Answer:

nP4 = 360

n! / (n-4)! = 360

n (n-1)(n-2)(n-3)(n-4)! / (n-4)! = 360

n (n-1)(n-2)(n-3) = 360

factorise 360 so that 360 can be written in the form of 4 consecutive numbers.

360 = 6×5×4×3

n (n-1)(n-2)(n-3) = 6×5×4×3

compare both L.H.S and R.H.S

therefore, n = 6

Answered by Ckaushal862
1

Answer:

nP4 = 360

n! / (n-4)! = 360

n (n-1)(n-2)(n-3)(n-4)! / (n-4)! = 360

n (n-1)(n-2)(n-3) = 360

factorise 360 so that 360 can be written in the form of 4 consecutive numbers.

360 = 6×5×4×3

n (n-1)(n-2)(n-3) = 6×5×4×3

compare both L.H.S and R.H.S

therefore, n = 6

Hope it helps u✌

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