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In parallelogram ABCD, AB=125cm, AD=132cm, and the length of diagonal AC is 37cm. The area of the parallelogram, in cm2, is

 Apr 5, 2021
 #1
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[ABCD] = 4620 cm2

 Apr 5, 2021
 #2
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Thank you for your answer. Could you please show how you got that?

Guest Apr 5, 2021
 #3
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It's very simple.                                                                                                                                                       

 

Two identical triangles with side lengths of 125 cm, 132 cm, and 37 cm form a parallelogram ABCD.

 

Heron's formula gives the area of a triangle when the length of all three sides is known. 

 

A = sqrt[s(s - a)(s - b)(s - c)]               ( s => semiperimeter )    s = 1/2(a + b + c)

civonamzuk  Apr 5, 2021

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