Question

what are the formula that should be used in quadrilaterals for class 10​

Answer 1

Answer:

Here is the answer for your question:

Area of Quadrilateral Formula

Consider a quadrilateral PQRS, of different(unequal) lengths, let us derive a formula for the area of a quadrilateral.

Quadrilateral PQRS

We can view the quadrilateral as a combination of 2 triangles, with the diagonal PR being the common base.

h1 and h2 are the heights of triangles PSR and PQR respectively.

Area Of Quadrilateral-02

Area of quadrilateral PQRS is equal to the sum of the area of triangle PSR and the area of triangle PQR.

Area of triangle PSR = (base * height)/2 = (PR * h1)/2

Area of triangle PQR = (base * height)/2 = (PR* h2)/2

Thus, area of quadrilateral PQRS is,

Area of triangle PSR + Area of triangle PQR =PR×h12+PR×h22=PR(h1+h22)

=12PR×(h1+h2)

Hence, the area of a quadrilateral formula is,

Area of a general Quadrilateral =12×diagonal×(Sumofheightoftwotriangle)

Step-by-step explanation:

Hope it's helpful to you

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Answer 2

꧁༺༒ANSWER༒༻꧂

If the diagonal and the length of the perpendiculars from the vertices are given, then the area of the quadrilateral is calculated as: Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

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