Suman had a triangular field of side 220m, 180m and 300m. She purchased an adjacent triangular field of sides 300m, 350m and 400m. Find total area.
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Semiperimeter of 1st triangle = (220+180+300)/2 = 350
Area of 1st triangle = ✓ 350(350-220)(350-180)(350-300) = √350*130*170"50 = ✓386750000 =19665.96
Semiperimeter of 2nd triangle = (1050)/2 = 525
Area of 2nd triangle = ✓525(525-300)(525-350)(525-400) = ✓525*225*175*125 = ✓2583984375 = 50832.91
Total area = 19665.96+50832.91 = 70498.87sq.m
Area of 1st triangle = ✓ 350(350-220)(350-180)(350-300) = √350*130*170"50 = ✓386750000 =19665.96
Semiperimeter of 2nd triangle = (1050)/2 = 525
Area of 2nd triangle = ✓525(525-300)(525-350)(525-400) = ✓525*225*175*125 = ✓2583984375 = 50832.91
Total area = 19665.96+50832.91 = 70498.87sq.m
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