Respuesta :

Answer:

  • (a) - no, (b) - yes

Step-by-step explanation:

Use equation and compare results:

  • d² = a² + b²

(a)

  • 10.15² = 8.1² + 6.3²
  • 103.0 ≠ 105.3, no

(b)

  • 15.31² = 14.4² + 5.2²
  • 234.4 = 234.4, yes

#a

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2[/tex]

[tex]\\ \sf\longmapsto 103=65.61+39.69[/tex]

[tex]\\ \sf\longmapsto 103\neq 105.3[/tex]

No

#b

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2[/tex]

[tex]\\ \sf\longmapsto 234.4=207.3+27.1[/tex]

[tex]\\ \sf\longmapsto 234.4\neq 234.4[/tex]

Yes

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