two adjacent sides of a parallelogram are 9 cm and 8 cm if one of its diagonal is 13 cm then what is its area 24√35 12√35 6√35 ;150sq.cm
Answers
Two adjacent sides of a parallelogram are 9 cm and 8 cm if one of its diagonal is 13 cm.
To find : The area of parallelogram.
solution : area of triangle of sides 9cm, 8cm and 13cm
s = (9cm + 8cm + 13cm)/2 = 15cm
using formula, A = √{s(s - a)(s - b)(s - c)}
so area of triangle = √{15(15 - 13)(15 - 9)(15 - 8)}
= √{15 × 2 × 6 × 7}
= 6√(35) cm²
The area of parallelogram = 2 × area of triangle
= 2 × 6√(35)
= 12√(35) cm²
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Answer:
12+2√35 is ur answer after using heron's formula.