The adjacent sides of a parallelogram measures 34m,20m, and the measures of the diagonal is 42m.Find the area of parallelogram
Answers
Area of parallelogram = = 672 m² if The adjacent sides of a parallelogram measures 34m,20m, and the measures of the diagonal is 42m
Step-by-step explanation:
Diagonal of parallelogram divides the parallelogram into two equal area triangle
Sides of one triangle are
34 , 20 & 42 m
s = (34 + 20 + 42)/2 = 48
Area of Triangle = √48(48 - 34)(48 - 20)(48 - 42)
= √48 * 14 * 28 * 6
= √2 * 4 * 6 * 2 * 7 * 7 * 4 * 6
= 2 * 4 * 6 * 7
= 336 m²
Area of parallelogram = 2 * 336
= 672 m²
Learn more:
ABCD is a parallelogram. P is a point on DC such that area of ...
https://brainly.in/question/2555018
ABCD is a parallelogram having adjecent side AB=35 cm and BC ...
https://brainly.in/question/1541262
Answer:
area of a parallelogram is 672
Step-by-step explanation:
∆abc , a=34 b=20 diagonal=42
S=a+b+c
S=34+20+42/2
S=96/2
S=48
Area of the traingle =√s(s-a)(s-b)(s-c)
=√48(48-34)(48-20)(48-42)
=√48(14)(28)(6)
=√48*14*168*
=√48*2352
=√112896
=336
Area of a parallelogram is 2*336 =672