Question

plz solve the above question please ​

Answer 1

Answer:

8 cm, 17 cm, 18 cm

Step-by-step explanation:

let the shortest side of triangle be x

the hypotenuse will be 2x + 1

the third side will be 2x - 1

using Pythagoras theorem

${(2x + 1)}^{2} = {x}^{2} + {(2x - 1)}^{2} \\ 4 {x}^{2} + 4x + 1 = {x}^{2} + 4 {x}^{2} - 4x + 1 \\ 4 {x}^{2} + 4x + 1 = 5 {x}^{2} - 4x + 1 \\ 5 {x}^{2} - 4x + 1 - 4 {x}^{2} - 4x - 1 = 0 \\ {x}^{2} - 8x = 0 \\ x(x - 8) = 0 \\ x = 0 \: \: \: \: \: \: \: \: x - 8 = 0 \\ x = 0 \: \: \: \: \: \: \: x = 8$

as side can't be 0 we take the positive value of x= 8

therefore the sides are

x = 8 cm

2x + 1 = 2(8) + 1 = 16 + 1 = 17 cm

2x - 1 = 2(8) - 1 = 16 - 1 = 15 cm

hope you get your answer