SOLUTION: Find the area of the triangle. Round your answer to the nearest tenth. https://www.webassign.net/waplots/9/f/0f28e6639bfdd603f95c8270025672.gif

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Question 1204655: Find the area of the triangle. Round your answer to the nearest tenth.
https://www.webassign.net/waplots/9/f/0f28e6639bfdd603f95c8270025672.gif
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

SAS is Side, Angle, Side
Given the size of sides ( and ) and the size of the angle that is in between those sides you can calculate the sizes of the remaining side and angles.



angle

use The Law of Cosines to solve for the remaining side,







to calculate area, we need semi-perimeter first

Triangle perimeter,
Triangle semi-perimeter,

Then triangle area is:







Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
Find the area of the triangle. Round your answer to the nearest tenth.
https://www.webassign.net/waplots/9/f/0f28e6639bfdd603f95c8270025672.gif
~~~~~~~~~~~~~~~~~~~ 

You are given the lengths of two sides of a triangle and the angle between them.


With this given data, the area of the triangle is half-product of the side lengths
and the sine of the angle between them. So the area at given condition can be computed in one line

    area =  =  = 18.00 square units  (rounded).   ANSWER

Solved.

----------------

On different formulas for a triangle area see the lesson
    - Formulas for area of a triangle
in this site.

In this concrete case,  I recommend using the simplest formula above in my post
and  DO  NOT  USE  more complicated formulas.

Using over-complicated formulas for simple problems like this one is demonstration
of mathematical illiteracy and definitely is  WRONG  TEACHING.

I do not think that your goal is to demonstrate your mathematical incompetence to all people around.


Happy learning (!)



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