Question

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

Answer 1

Answer:

$a = \sqrt{21}$

Step-by-step explanation:

• Pythagorean theorem
• $\sqrt{a ^{2} + b ^{2} } = c \\ \sqrt{c ^{2} - b ^{2} } = a$
• $\sqrt{5 ^{2} - 2 ^{2} } = \sqrt{21}$

Answer 2

Answer:

• $\sqrt{21}$

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
• $a \: = \: \sqrt{21}$