Three roads enclose a triangular traffic island with sides 33 $m, 44 m$ and 55 $m$ .
Find the area of the island (in $m^{2}$ ).

Question

Three roads enclose a triangular traffic island with sides 33 m, 44 m and 55 m. Find the area of the island (in m^2).

Accepted Answer

726. s = 33+44+55/2 = 66. Area = √66 · (66-33) · (66-44) · (66-55) = √66 · 33 · 22 · 11 = √527076 = 726 m^2. (This is the 3:4:5 family scaled by 11, area = 11^2 · 6 = 726.)

Three roads enclose a triangular traffic island with sides 33 $m, 44 m$ and 55 $m$ .
Find the area of the island (in $m^{2}$ ).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

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

Three roads enclose a triangular traffic island with sides 33 m,44m and 55 m.Find the area of the island (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

Three roads enclose a triangular traffic island with sides 33 $m, 44 m$ and 55 $m$ .
Find the area of the island (in $m^{2}$ ).