Answer:
The approximate length of the missing side is of 5.57 cm.
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle with sides a and b and hypotenuse c, the Pythagorean theorem states that:
[tex]a^2 + b^2 = c^2[/tex]
In this question:
[tex]a = 15, c = 16[/tex]
We want to find b. Then
[tex]a^2 + b^2 = c^2[/tex]
[tex]15^2 + b^2 = 16^2[/tex]
[tex]b^2 = 256 - 225[/tex]
[tex]b^2 = 31[/tex]
[tex]b = \sqrt{31}[/tex]
[tex]b = 5.57[/tex]
The approximate length of the missing side is of 5.57 cm.
