In the given figure, ABC is an equilateral triangle. Find the co-ordinates of A.

Question

KnowledgeBoat · Accepted Answer

Given: The co-ordinates of B = (2, 0) The co-ordinates of C = (6, 0) So, the length of BC = 6 - 2 = 4 units Since ABC is an equilateral triangle, The height of the triangle = = = 2 units The mid-point of BC = = (4, 0) Since Δ ABC is equilateral, and BC lies on the x-axis: - The abscissa (x-coordinate) of A is the same as the midpoint of BC, i.e., x=4. - The ordinate (y-coordinate) of A is the height of the triangle, . Hence, the co-ordinates of A are (4, 2 ).

Mathematics

In the given figure, ABC is an equilateral triangle. Find the co-ordinates of A.

Graphical Solution

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In the given figure, ABC is an equilateral triangle. Find the co-ordinates of A.

Graphical Solution

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(i) (k, -3) lies on the straight line 2x + 3y = 1
(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0