A trapezoid is a quadrilateral whose two sides are parallel (bases) and the other two are not parallel (sides).
Trapezoid area formula
where a and b are bases, h is height
A trapezoid is a quadrilateral whose two sides are parallel (bases) and the other two are not parallel (sides).
Trapezoid area formula
where m is the middle line, h is the height
A trapezoid is a quadrilateral whose two sides are parallel (bases) and the other two are not parallel (sides).
Trapezoid area formula
where d1,d2 are diagonals, α° is the angle between them
A trapezoid is a quadrilateral whose two sides are parallel (bases) and the other two are not parallel (sides).
Trapezoid area formula
where a and b are the bases, c and d are the sides
A trapezoid is a quadrilateral whose two sides are parallel (bases) and the other two are not parallel (sides).
Trapezoid area formula
where r is the radius of the inscribed circle, α° is the angle between the base and the side
Solution:
S =
·
√c^{2} - ((b-a)^{2}+c^{2}-d^{2}
2·(b-a)
)^{2} =
·
√4.83^{2} - ((3-0.54)^{2}+4.83^{2}-5.57^{2}
2·(3-0.54)
)^{2} =
·
√4.83^{2} - (2.46^{2}+4.83^{2}-5.57^{2}
2·2.46
)^{2} =
·
√23.3289 - (6.0516+23.3289-31.0249
4.92
)^{2} = 1.77
·
= 1.77
·
√23.3289 - -0.334^{2}
= 1.77
·
√23.3289 - 0.111556
= 1.77
·
√23.217344
= 1.77
·
4.818
=
8.528
Answer: trapezoid area with sides 0.54,3,4.83,5.57 equal to 8.528