SOLUTION: https://0cm.classmarker.com/8289233_GMVZ5SHO.png In the parallelogram MATH, side MA = 51 inches. It's diagonals MT and AH are equal 74 and 40 inches correspondingly. Find [MATH].

Algebra ->  Parallelograms -> SOLUTION: https://0cm.classmarker.com/8289233_GMVZ5SHO.png In the parallelogram MATH, side MA = 51 inches. It's diagonals MT and AH are equal 74 and 40 inches correspondingly. Find [MATH].       Log On


   

Question 1167295: https://0cm.classmarker.com/8289233_GMVZ5SHO.png
In the parallelogram MATH, side MA = 51 inches. It's diagonals MT and AH are equal 74 and 40 inches correspondingly. Find [MATH]. Look at link above for the image. I'm not sure my answer is correct of 1224 inch squared.
Answer by ikleyn(52943) About Me  (Show Source):
You can put this solution on YOUR website!
.

Find cosine of the angle between the diagonals using the cosine law.


By knowing cosine, find sine of this angle.


Then find the area of the parallelogram by the formula 


    area = half the product of diagonals by the sine of the angle between them.