MHB Parallelogram with diagonals. Need to find the area (S).

AI Thread Summary
The discussion focuses on calculating the area of a parallelogram given its diagonals and one side length. Diagonal 1 measures 20 cm, diagonal 2 measures 37 cm, and side AB is 25.5 cm. Participants clarify that "S" represents the area and discuss using Heron's formula to find the area of triangle AMC formed by the diagonals. There is confusion about the relevance of the area of triangle AMC (306 cm) to the overall area of the parallelogram. Ultimately, it is emphasized that the provided measurements are sufficient to calculate the area without needing the triangle's area.
STS
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diagonal 1=20cm.
diagonal 2=37cm.
AB=25.5cm

S (AMC)= 306cm.
S (ABCD)=?
 
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STS said:
diagonal 1=20cm.
diagonal 2=37cm.
AB=25.5cm
Okay, that makes sense.

S (AMC)= 306cm.
S (ABCD)=?
What?? What is "S( )"? What is "M"? Is it another point? The midpoint where the two diagonals intercept?
 

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Country Boy said:
Okay, that makes sense.What?? What is "S( )"? What is "M"? Is it another point? The midpoint where the two diagonals intercept?

S is the area. You move one of the diaganals to the side, then that forms a triangle. Then with Heron's formula you figure out the area of the triangle that has formed (AMC). That is suppose to help you figure out the area of the parallelogram using another formula, but I couldn't figure it out.
 
STS said:
S is the area. You move one of the diaganals to the side, then that forms a triangle. Then with Heron's formula you figure out the area of the triangle that has formed (AMC). That is suppose to help you figure out the area of the parallelogram using another formula, but I couldn't figure it out.
OK; then WHY did you post only this:
........
diagonal 1=20cm.
diagonal 2=37cm.
AB=25.5cm

S (AMC)= 306cm.
S (ABCD)=?
........

You're given the 2 diagonals plus 1 side.
That's plenty of info to calculate the area.
S(AMC) = 306 not required...
 

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