Answer:
From the pythagorean theorem:
AB²+BC²=AC²
x+35²=37²
x+1225=1369
x=1369-1225
x²=144 cm
x=radical 144=12
Answer:
[tex]\huge\boxed{b = 12 cm}[/tex]
Step-by-step explanation:
Using Pythagorean Theorem:
[tex]c^2 = a^2 + b^2[/tex]
Where c is hypotenuse(37 cm), and one of the side is 35 cm.
=> [tex]37^2 = 35^2 + b^2[/tex]
=> [tex]b^2 = 37^2-35^2\\[/tex]
=> [tex]b^2 = 1369 - 1225\\[/tex]
=> [tex]b^2 = 144[/tex]
Taking sqrt on both sides
=> b = 12 cm