Answer:
Base: 15 Height: 9
Step-by-step explanation:
Let's call the height of the triangle h, and the base b.
[tex]h=b-6\\\dfrac{bh}{2}=67.5\\bh=135\\b(b-6)=135\\b^2-6b=135\\b^2-6b-135=0\\(b-15)(b+9)=0\\b=-9, 15[/tex]
Since the length of the side of a triangle cannot be negative, the length of the base is 15, and the height is 9. Hope this helps!
