Answer:
AC =10 cm
Step-by-step explanation:
triangle ABC is a right angled triangle
side opposite to angle B is hypotenuse
so hypotenuse=AC
here AB and BC are other two smaller sides of a triangle.
so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.
Let AB=a , BC=b and AC=c(hypotenuse)
[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]
36 + 64 =[tex]AC^{2}[/tex]
100=[tex]AC^{2}[/tex]
[tex]\sqrt{100[/tex] =AC
10=AC
