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प्रश्न
The area of the triangle formed by the points A(2,0) B(6,0) and C(4,6) is
विकल्प
24 sq. units
12 sq. units
10 sq. units
none of these
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उत्तर
Given that points A(2,0), B(6,0) and C(4 ,6) form a triangle which is shown in the figure. We are asked to find the area of the triangle ΔABC.
Given that
OA = 2
and OB = 6
Hence
\[\text { AB = OB - OA}\]
\[ = 6 - 2\]
\[ = 4\]
CD = 6
By using formula,
\[∆\text { ABC }= \frac{1}{2} \times \text { AB} \times \text{CD}\]
\[ = \frac{1}{2} \times 4 \times 6\]
\[ = 12 \text { sq units} \]
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संबंधित प्रश्न
Find the centre of the circle passing through (5, -8), (2, -9) and (2, 1).
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Find the area of quadrilateral ABCD whose vertices are A(–3, –1), B(–2, –4), C(4, –1) and D(3, 4).
Points A(–1, y) and B(5, 7) lie on a circle with centre O(2, –3y). Find the values of y.
Prove that the diagonals of a rectangle ABCD with vertices A(2, –1), B(5, –1), C(5, 6) and D(2, 6) are equal and bisect each other.
Find the possible pairs of coordinates of the fourth vertex D of the parallelogram, if three of its vertices are A(5, 6), B(1, –2) and C(3, –2).
Show that A (−3, 2), B (−5, −5), C (2,−3), and D (4, 4) are the vertices of a rhombus.
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