Chapter 8.4, Problem 54AYU

To determine

To find: The process that need to be done if it is asked to find the area of a triangle and are given two sides and the included angle.

Answer to Problem 54AYU

The formula of area will be $A=\frac{1}{2}\times a\times b\sin C$ .

Explanation of Solution

Given:

The two sides and including angle is given.

Calculation:

The area of the triangle is given by,

  $A=\frac{1}{2}\times \text{base}\times \text{height}$

Let the two sides are $a$ and $b$ , angle between them is $C$ .

The area of the triangle is given by,

  $A=\frac{1}{2}\times a\times b\sin C$

Where, $b\sin C$ will be the height and $a$ will be base.

Hence, the formula of area will be $A=\frac{1}{2}\times a\times b\sin C$ .