Tuesday

September 2, 2014

September 2, 2014

Posted by **Tareena** on Saturday, May 24, 2008 at 7:05pm.

- Math -
**drwls**, Sunday, May 25, 2008 at 8:30amI 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. So the answer is 71.82 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 48sqaure cm and its shorter sides have lenghts 9 ...

geometry - a right traingle has legs of lengths 3 centimeters and 5 centimeters...

Triangles - Right traingles C and D share a leg. If the ratio of the area of ...

Pre-calculus - Find the lengths of the diagonals of a parallelogram with ...

math - a college football pennant is in the shape of an isosceles traingle . the...

Math - The diagonal of a square of area 72 is also one side of an equilateral ...

math - if the measure of the angles of a traingle are represented by 2x, 3x-15, ...

radius of circle circumcribed about traingle - find the radius of circle ...

Physics guide me through - On a calm, bright day, you're scuba diving in a deep ...