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प्रश्न
Area of ΔABC is ______.
पर्याय
20 sq. units
10 sq. units
6 sq. units
12 sq. units
MCQ
रिकाम्या जागा भरा
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उत्तर
Area of ΔABC is 10 sq. units.
Explanation:
Coordinates of A = (0, 4)
Coordinates of B = (–2, 0)
Coordinates of C = (3, 0)
This forms a triangle ABC with base BC on the x-axis and height from A perpendicular to the base.
Step 1: Length of base BC
BC = Distance between B(−2, 0) and C(3, 0) = 3 − (−2) = 5 units
Step 2: Height from A to base
Since A is at (0, 4), height = 4 units
Step 3: Area of triangle
Area = `1/2 × "base" × "height" = 1/2 × 5 × 4 = 10` sq. units
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