Question

Teorema de Pitágoras ​

Answer 1

a) 25² = 20² + x²

625 = 400 + x²

625 - 400 = x²

225 = x²

x = √225

x = 15

b) x² = 12² + 9²

x² = 144 + 81

x² = 225

x = √225

x = 15

c) 20² = 12² + x²

400 = 144 + x²

400 - 144 = x²

256 = x²

x = √256

x = 16

Answer 2

A)

${x}^{2} + {20}^{2} = {25}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = 15$

B)

${x}^{2} = {12 }^{2} + {9}^{2} \\ {x}^{2} = 144 + 81 \\ {x}^{2} = 225 \\ x = 15$

C)

${x}^{2} + {12}^{2} = {20}^{2} \\ {x}^{2} = 400 - 144 \\ {x}^{2} = 256 \\ x = 16$