In the given figure, ABCD is a quadrilateral in which AC=24cm, BL ⊥

1.	In the given figure, ABCD is a quadrilateral in which AC=24cm, BL ⊥ AC and DM ⊥ AC such that BL=8cm and DM=7cm. find the area of quad. ABCD.
Answer» The given details are, BL ⊥ AC and DM ⊥ AC AC=24cm, BL=8cm, DM=7cm By using the formula, Area (quad.ABCD) = area (△ABC) + area(△ADC) Area of triangle=1/2 × base × height ∴ Area (quad.ABCD) = (½ × AC × BL) + (½ × AC × DM) = (½ × 24 × 8) + (½ × 24 × 7) = 96 + 84 = 180cm²

In the given figure, ABCD is a quadrilateral in which AC=24cm, BL ⊥ AC and DM ⊥ AC such that BL=8cm and DM=7cm. find the area of quad. ABCD.

Answer»

The given details are,

BL ⊥ AC and DM ⊥ AC

AC=24cm, BL=8cm, DM=7cm

By using the formula,

Area (quad.ABCD) = area (△ABC) + area(△ADC)

Area of triangle=1/2 × base × height

∴ Area (quad.ABCD) = (½ × AC × BL) + (½ × AC × DM)

= (½ × 24 × 8) + (½ × 24 × 7)

= 96 + 84

= 180cm²