Answer:
The correct option is 1.
Step-by-step explanation:
It is given than the area of the triangle ABC is 46cm².
Area of a triangle is
[tex]A=\frac{1}{2}\times base\times height[/tex]
Base of the triangle is AB and height of the triangle is CD.
[tex]A=\frac{1}{2}\times AB\times CD[/tex]
[tex]A=\frac{1}{2}\times AB\times 8[/tex]
[tex]A=4\times AB[/tex]
The area of the triangle is 46cm².
[tex]46=4\times AB[/tex]
[tex]AB=\frac{46}{4}[/tex]
[tex]AB=11.5[/tex]
Therefore the length of side AB is 11.5 cm. Option 1 is correct.
