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GUJCET · Maths · Determinants
Find the area of a triangle given that midpoints of its sides are \((2,7),(1,1)\) and \((10,8)\).
- A \(\frac{47}{4}\)
- B 47
- C 94
- D \(\frac{47}{2}\)
Answer & Solution
Correct Answer
(C) 94
Step-by-step Solution
Detailed explanation
Area of triangle formed by midpoints \( = \frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| \) \( = \frac{1}{2} |2(1 - 8) + 1(8 - 7) + 10(7 - 1)| = \frac{1}{2} |-14 + 1 + 60| = \frac{47}{2} \)
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