Question

first right answer gets 10 points

Answer 1

Answer:

Base: 16 cm

Height: 48 cm

Step-by-step explanation:

Let's call the length of the base b, and the length of the height h. Since the formula for the area of a triangle is bh/2, you can set up the following equations:

$h=3b\\\dfrac{bh}{2}=384\\ \dfrac{b(3b)}{2}=384\\\dfrac{3b^2}{2}=384\\3b^2=768\\b^2=256\\b=16\\h=16\cdot 3=48$

Hope this helps!