Question

Which of thee following set can be used to solve a right angled triangle A,17,8,15 b)5,13,13 c)2,3,5 d)6,12,14

Answer 1

Answer:

17,8,15 is used to solve a right angled triangle

Answer 2

Option verification

Using Pythagorean theorem

(Hypotenuse) ^2 = (side)^2 + (side) ^2

A) (17)^2 = (8)^2 + (15)^2

289 = 64 + 225

289 = 289

LHS = RHS

B) (13)^2 = (13)^2 + (5)^2

169 = 169 + 25

169 = 194

LHS no equal to RHS

C) (5)^2 = (3)^2 + (2) ^2

25 = 9 + 4

25 = 13

LHS no equal to RHS

D) (14)^2 = (12)^2 + (6)^2

196 = 144 + 36

196 = 180

LHS no equal to RHS

option A only satisfied the Pythagorean theorem

So (A) 17,15,8 forms right angle triangle

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