Answer:
Height is 18 inches.
Base is 36 inches.
Step-by-step explanation:
Let the base of the triangular table top be x inches.
The height will be [tex]\frac{1}{2}[/tex]x inches.
The area of the triangular table top is 324 inches²
Area of a triangle = [tex]\frac{1}{2}[/tex] × Base × Height
342 inches² = [tex]\frac{1}{2}[/tex] × x × [tex]\frac{1}{2}[/tex]x
[tex]\frac{x^2}{4}[/tex] = 324
Finding the square root on both sides gives;
[tex]\frac{x}{2}[/tex] = 18
Therefore x (the base) = 36 inches
And [tex]\frac{1}{2}[/tex] (the height) = 18 inches.
