Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the problem,
base = [tex]\frac{1}{3}[/tex] x height
let the base = b
height = h
b = [tex]\frac{1}{3}[/tex]h
h = 3b
Input into the formula of area;
24 = [tex]\frac{1}{2}[/tex] x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
