Answer:
BC = 10.24
Step-by-step explanation:
You can use the Pythagoras theorem for this question
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
a = 8cm
b = ???
c = 13cm
We will solve for B (length BC)
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]8^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]
Rearrange for b
[tex]b^{2}[/tex] = [tex]13^{2}[/tex] - [tex]8^{2}[/tex]
[tex]b^{2}[/tex] = 105
b = [tex]\sqrt{105}[/tex]
b = 10.24
