A field is a quadrilateral split into two congruent triangles by a diagonal. Each triangle has sides 9 m, 40 m and 41 m (41 m being the diagonal). Find the total area of the quadrilateral (in m^2).

Question

Accepted Answer

360. Each triangle: s = 9+40+41/2 = 45. Area = √45 · (45-9) · (45-40) · (45-41) = √45 · 36 · 5 · 4 = √32400 = 180 m^2. Two triangles: 2 · 180 = 360 m^2.

A field is a quadrilateral split into two congruent triangles by a diagonal.
Each triangle has sides 9 $m, 40 m$ and 41 $m (41 m$ being the diagonal).
Find the total area of the quadrilateral (in $m^{2}$ ).

Step-by-Step Solution

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

A field is a quadrilateral split into two congruent triangles by a diagonal.Each triangle has sides 9 m,40m and 41 m(41m being the diagonal).Find the total area of the quadrilateral (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 a quadrilateral split into two congruent triangles by a diagonal.
Each triangle has sides 9 $m, 40 m$ and 41 $m (41 m$ being the diagonal).
Find the total area of the quadrilateral (in $m^{2}$ ).