Answer:
a = 6.9
Step-by-step explanation:
When calculating the side of a triangle, use pythagoras theorem:
[tex]a^2 + b^2 = c^2[/tex]
Seeing as you know one side and the hypotenuse, rearrange to make a or b the subject:
[tex]a^2 = c^2 - b^2[/tex]
Plug known values in:
[tex]a^2 = 8^2 - 4^2\\a^2 = 64 - 16\\a^2 = 48[/tex]
Square root both sides to find a:
[tex]\sqrt{a^2} = \sqrt{48}\\a = \sqrt48\\a = 6.928\\a = 6.9[/tex]
Hope this helps!
