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Question
Q. :- Find the formula of area , and actual area of Obtuse triangular ground ABC , obtuse at angle B. BC = 14, and the perpendicular distance from A to BC = 11.
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Step : 1
Draw AD perpendicular to BC. so ADB and ADC are two right angled triangles
Area of ABC = Area of ADC - area of ADB
= 1/2 x AD x DC + 1/2 x AD x DB
= 1/2 x AD x ( DC - DB ) = 1/2 x AD x BC
So Area of An obtuse triangle = 1/2 x Perpendicular length x Base length
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Step : 2
Draw AD perpendicular to BC. so ADB and ADC are two right angled triangles
Area of ABC = Area of ADC - area of ADB
= 1/2 x 11 x DC + 1/2 x 11 x DB
= 1/2 x 11 x ( DC - DB ) = 1/2 x 11 x BC
= 1/2 x 11 x 14 = 1/2 x 154 = 77
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