A field is in the shape of a quadrilateral ABCD where the diagonal AC = 5 m, AB = 3 m, BC = 4 m, CD = 4 m, DA = 5 m. Use Heron's formula on both triangles ABC and ACD to find the total area (in m^2).

Question

Accepted Answer

15.17. Triangle ABC: sides 3,4,5 (right) area = 6 m^2. Triangle ACD: sides AC=5, CD=4, DA=5, s = 7, Area = √7 · 2 · 3 · 2 = √84 = 9.165 m^2. Total approx 6 + 9.165 = 15.165 ~ 15.17 m^2 (rounded).

A field is in the shape of a quadrilateral ABCD where the diagonal AC = 5 $m$ , AB = 3 $m$ , BC = 4 $m$ , CD = 4 $m$ , DA = 5 $m$ .
Use Heron's formula on both triangles ABC and ACD to find the total area (in $m^{2}$ ).

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More Class 9 Area of a Triangle by Heron's Formula practice

A field is in the shape of a quadrilateral ABCD where the diagonal AC = 5 m, AB = 3 m, BC = 4 m, CD = 4 m, DA = 5 m.Use Heron's formula on both triangles ABC and ACD to find the total area (in m2).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Area of a Triangle by Heron's Formula practice

A field is in the shape of a quadrilateral ABCD where the diagonal AC = 5 $m$ , AB = 3 $m$ , BC = 4 $m$ , CD = 4 $m$ , DA = 5 $m$ .
Use Heron's formula on both triangles ABC and ACD to find the total area (in $m^{2}$ ).