Asked by nia
the measures of a pair of two adjacent sides of a parallelogram are 15cm and 20 cm.if the length of one of its diagonal is 25cm, find the area of the parallelogram
Answers
Answered by
Shashwat
The parallelogram has sides 15cm 20cm 15cm 20cm
The diagonal of length 25cm divide it into two congruent triangles
Using the heron formula to find the area of a triangle and multiplying by two we get the area of parallelgram
Triangle with sides 15cm 20 cm 25 cm
Putting the values in heron formula we get
sqrt(s(s-a)(s-b)(s-c))
= sqrt(30 * 15*10*5)
= 15*2*5
= 150
Area of parallelogram =150 *2
= 300
The diagonal of length 25cm divide it into two congruent triangles
Using the heron formula to find the area of a triangle and multiplying by two we get the area of parallelgram
Triangle with sides 15cm 20 cm 25 cm
Putting the values in heron formula we get
sqrt(s(s-a)(s-b)(s-c))
= sqrt(30 * 15*10*5)
= 15*2*5
= 150
Area of parallelogram =150 *2
= 300
Answered by
Steve
The figure is a rectangle, since
15^2 + 20^2 = 25^2
The area is thus 15*20 = 300
15^2 + 20^2 = 25^2
The area is thus 15*20 = 300
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