The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height of the triangle? A. 3in, 9 in
B. 8in, 24 in
C. 2in, 6in
D. 4in, 12in

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = x base x height

   From the problem,

        base  = x height

let the base  = b

            height  = h

         b =  h

          h = 3b

Input into the formula of area;

       24  =   x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

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step-by-step explanation: