Question

if a right triangle's three sights are x+1 x+2 and x+3 then x =?

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Answer 1

Since it is right triangle.

Therefore,

${(x + 3)}^{2} = {(x + 1)}^{2} + {(x + 2)}^{2} \\ {x}^{2} + 9 + 6x = {x}^{2} + 1 + 2x + {x}^{2} + 4 + 4x \\ {x}^{2} + 9 + 6x = 2 {x}^{2} + 6x + 5 \\ {x}^{2} - 2 {x}^{2} + 6x - 6x + 9 - 5 = 0 \\ - {x}^{2} + 4 = 0 \\ {x}^{2} = 4 \\ x = 2 \: and \: - 2$

Hope it is helpful

Answer 2

X + 1 + X + 2 + X + 3 = 180 degree by angle sum property

6x=180

x =180/6

x=30