Posted by **Tom** on Saturday, May 24, 2008 at 8:26pm.

A traingle has an area 48sqaure cm and its shorter sides have lenghts 9 cm and 12cm. Find the largest angle of the triangle

- Math -
**drwls**, Sunday, May 25, 2008 at 8:32am
Looks like the same question posted by "Tareena"

So here is the same answer:

I first solved this by iteration. (trying different angles between the two given sides until I got the correct area).

I used a tool that I found here:

(Broken Link Removed)

I got the third side length to be 11.227 and the angle opposite the side with length 12 to be 71.82 degrees. The other two angles are 45.44 and 62.73 degrees.

Here is better way to do it:

One can get an area of 48 if the altitude of the triangle measured from the side of length 12 is 8. With that information, you can reconstruct the full triangle. The sine of the angle between the sides of length 9 and 12 is 8/9, so that angle is 62.73 degrees. The law of cosines can now be used for the third side length (11.227). The law of sines can be used for either one of the remaining angles.

## Answer This Question

## Related Questions

- MATH - a traingle has an area 48 square cm and its shorter sides have lengths ...
- Math - a traingle has an area 48 square cm and its shorter sides have lengths ...
- Geometry - 1. The sides of a triangle have lenghts x, x+4, and 20. Specify those...
- Math - The sides of a triangle form an arithmetic sequence with a common ...
- Math - In a right angled triangle, the length of a hypotenuse is 10 cm. Of the ...
- Vectors - A triangle has vertices A(2,3,7), B(0,-3,4) and C(5,2,-4) A) determine...
- Algebra 2 - Find the dimensions and area of the largest rectangle that can be ...
- Precalc - The sides of a triangle form an arithmetic sequence with a common ...
- 5th grade - For each right triangle, draw the rectangle made by drawing sides ...
- Geometry - Find the area of each equilateral triangle. The triangle has 12cm ...

More Related Questions