Chapter 8.4, Problem 16AYU

To determine

To find: The area of the given triangle round to two decimal points.

Answer to Problem 16AYU

Solution:

$Area \approx 10.39$

Explanation of Solution

Given:

$a = 6, b = 4, C = 60°$

Formula used:

$K = \frac{1}{2} ab\text{sin}C$

Calculation:

$a = 6, b = 4, C = 60°$

Area of the triangle is given by

$K = \frac{1}{2} ab\text{sin}C$

$K = \frac{1}{2} * 6 * 4 * \text{sin}60°$

$K \approx 12 * \frac{\sqrt{3}}{2}$

$Area \approx 10.39$