Question

2
Solve for a.
5
a
= √ [?]
a =
Pythagorean Theorem: a² + b2 = c²

Answer 1

• 
  `√(21)`

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
• 
  `a \: = \: √(21)`

Answer 2

`a = √(21)`

Explanation:

• Pythagorean theorem
• 
  `\sqrt{a ^(2) + b ^(2) } = c \\ \sqrt{c ^(2) - b ^(2) } = a`
• 
  `\sqrt{5 ^(2) - 2 ^(2) } = √(21)`