Quadrilateral ABCD has sides (AB = 9

MATHEMATICS · Subjective · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

Quadrilateral ABCD has sides

AB = 9\,\text{cm},\ BC = 13\,\text{cm},\ CD = 14\,\text{cm}

and

DA = 12\,\text{cm}

. Its diagonal BD measures

x\,\text{cm}

. If the area of the quadrilateral is

108\,\text{cm}^2

, find the value of

x

correct to one decimal place.