Respuesta :

mhanifa

Answer:

  • √116 or √84

Step-by-step explanation:

ABC is a right triangle

  • AC=4, BC=10, AB = ?

Here we have two options:

1. AB is hypotenuse, then:

  • AB = [tex]\sqrt{AC^2 + BC^2} = \sqrt{4^2 + 10^2} = \sqrt{16 + 100} =\sqrt{116}[/tex]

2. BC is hypotenuse and AB is the second leg, then:

  • AB = [tex]\sqrt{BC^2 - AC^2} = \sqrt{10^2 - 4^2} = \sqrt{100 - 16} = \sqrt{84}[/tex]