Question

I was asked to find the area of a triangle but all I know is that the longest side of the triangle is 13 units, the shortest side is 7 units, the third side is 8 units, and two of the angle measures are 32° and 28°.
How would you solve this problem?

Answer 1

Answer:

24.25

Step-by-step explanation:

1. let's know what kind of triangle we are dealing with

• The sum of the degrees of angles in a triangle is = 180

so if both angles given sum up to (32 + 28) = 60, then the other angle is (180 - 60) = 120.

2. Let's draw this triangle    ABC

AB = 13

BC = 7

CA = 8

angle c = 120 degrees

angle b = 32 degrees  

angle a = 28 degrees

3. Now, since it's not a right angled triangle

the formula for calculating the area of a non right angled triangle = 1/2absineC

((7*8) sine 120)/2    

sine 120 = 0.866

(56*0.866)/2 = 24.25

P.S. check the attached image to know what the triangle looks like