Chapter 1.4, Problem 66E

To determine

To find: the base of the triangle

Answer to Problem 66E

the base of the triangle is $b=12$

Explanation of Solution

Given:

Triangle has a height of 8 feet and an area of 48 square feet.

Calculation:

Let's note:

  $h=$ the height of a triangle

  $b=$ the base of the triangle corresponding to $h$

  $S=$ the triangle's area We are given:

  $h=8$

  $S=48$

We find the height h:

  $S=\frac{bh}{2}$

  $2S=\frac{bh}{2S}$

  $b=\frac{h}{h}$

  $b=\frac{2\cdot 48}{8}$

  $b=12$

Therefore, $b=12$

Conclusion:

Therefore, the base of the triangle is $b=12$