Respuesta :

Answer:

[tex]a = \sqrt{21} [/tex]

Step-by-step explanation:

  • Pythagorean theorem
  • [tex] \sqrt{a ^{2} + b ^{2} } = c \\ \sqrt{c ^{2} - b ^{2} } = a[/tex]
  • [tex] \sqrt{5 ^{2} - 2 ^{2} } = \sqrt{21} [/tex]

Answer:

  • [tex] \sqrt{21} [/tex]

Step-by-step explanation:

Given :

b = 2

c = 5

To Find:

a = ?

Solve:

By using Pythagoras Theorem :

  • a² + b² = c²

Putting the values :

  • a² + 2² = 5²
  • a² + 4 = 25
  • a² = 25 - 4
  • a² = 21
  • [tex]a \: = \: \sqrt{21} [/tex]