Chapter 8.4, Problem 1AYU

The area $K$ of a triangle whose base is $b$ and whose height is $h$ is _______. (p. A15)

To determine

To fill: The area $\text{K}$ of a triangle whose base is $\text{b}$ and whose height is $\text{h}$ is ______.

Answer to Problem 1AYU

Solution:

$K = \frac{1}{2} * h * b$

Explanation of Solution

Given:

A triangle whose base is $\text{b}$ and whose height is $\text{h}$.

Calculation:

The figure below shows a triangle with a base $\text{b}$ and height $\text{h}$.

The triangles 1, 2, 3 and 4 are of equal area.

$Area of 3 + area of 2 = \frac{1}{2} Area of the rec\text{tan}gle$

$K = \frac{1}{2} * h * b$

Hence, The area $\text{K}$ of a triangle whose base is $\text{b}$ and whose height is $\text{h}$ is

$K = \frac{1}{2} * h * b$