Hello !
Answer:
Step-by-step explanation:
Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²
Here, we have a = 4 and c = 6 so :
b² = 6² - 4²
⇔ b² = 36 - 16
⇔b² = 20
⇔ b = √20 (and not b= -√20 because b ≥ 0)
b = [tex]\sqrt{20}[/tex]
Using the Pythagorean Theorem:
6² = 4² + b²
⇒ b² = 6² - 4²
⇒ b = [tex]\sqrt{6^2 - 4^2}[/tex]
⇒ b = [tex]\sqrt{36 - 16}[/tex]
⇒ b = [tex]\sqrt{20}[/tex]
