two adjacent sides of a parallelogram are of lengths 5cm and 7cm; and the diagonal connecting the ends of these sides is of length 9cm find the area of parellogram.
Answers
Area of parallelogram is 34.83cm²
Parallelogram = ABCD (Given)
AB =7cm (Given)
AD = 5cm (Given)
BD = 9cm (Given)
Area of AB = √ s (s−a)(s−b)(s−c)
= √10.5 (10.5−9) (10.5−7) (10.5−5) where s = 5+7+9/2 = 10.5
= √10.5 × 1.5 × 3.5 × 5.5
= √105/10 × 15/10 × 35/10 × 55/10
= 1/100√ 5 × 3 × 7 × 3 × 5 × 5 × 7 × 5 × 11
= 25 × 3 × 7/100 √11
= 21/4(3.317)
= 17.414cm²
Therefore, the area of parallelogram is -
= 2 × 17.414
= 34.83cm²
Answer:
Step-by-step explanation:
Area of parallelogram is 34.83cm²
Parallelogram = ABCD (Given)
AB =7cm (Given)
AD = 5cm (Given)
BD = 9cm (Given)
Area of AB = √ s (s−a)(s−b)(s−c)
= √10.5 (10.5−9) (10.5−7) (10.5−5) where s = 5+7+9/2 = 10.5
= √10.5 × 1.5 × 3.5 × 5.5
= √105/10 × 15/10 × 35/10 × 55/10
= 1/100√ 5 × 3 × 7 × 3 × 5 × 5 × 7 × 5 × 11
= 25 × 3 × 7/100 √11
= 21/4(3.317)
= 17.414cm²
Therefore, the area of parallelogram is -
= 2 × 17.414
= 34.83cm²