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

Question

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

in progress 0
Maya 2 months 2021-09-10T18:26:41+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-10T18:28:16+00:00

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

    6x=180

    x =180/6

    x=30

    0
    2021-09-10T18:28:40+00:00

    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

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )