Chapter 8.4, Problem 14AYU

To determine

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

Answer to Problem 14AYU

Solution:

$Area \approx 0.17$

Explanation of Solution

Given:

$a = 2, c = 1, B = 10°$

Formula used:

$K = \frac{1}{2} ac\text{sin}B$

Calculation:

$a = 2, b = 1, C = 10°$

Area of the triangle is given by

$K = \frac{1}{2} ac\text{sin}B$

$K = \frac{1}{2} * 2 * 1 * \text{sin}10°$

$K \approx 0.17$

$Area \approx 0.17$