Question

the parallel sides of trapezium are 10 m and 15m long and its non parallel sides are 8 m and 7 m long. find the area of trapezium ​

Answer 1

1/2 ×10+15 ×3root 5

1/2×25×3root5

12.5 ×3root5

37.5root5

Answer 2

$\huge \mathbb {heya \: mate \: here \: is \: ur \: ans}$

BY APPLYING HERONS FORMULA IN TRIANGLES FORMED AT THE CORNERS=>


$\huge \underline\mathfrak {area \: of \: trap = \frac{1}{2} \times (10 + 15) \times 3 \sqrt{5} }$

$area \: of \: trapezium = \frac{1}{2} \times (10 + 15) \times 3 \sqrt{5} \\ \\ \: \: \: \: \: \: \: \: = \frac{1}{2} \times 25 \times 3 \sqrt{5} \\ \\ \: \: \: \: \: \: \: = 12.5 \times 3 \sqrt{5} \\ \: \: \: \: \: \: \: = 12.5 \times 6.70 \\ \: \: \: \: \: \: \: = 83.85 {m}^{2}$

$\huge \mathbb{hope \: it \: helps \: you}$