Let O(0,0),A(2,0),andB(1,31 be the vertices of a triangle. Let R be the region consisting of all theose points P inside ΔOAB which satisfy d(P,OA)≤ min [d(P,AB)], where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

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Question

Let $O (0, 0), A (2, 0), and B (1, \frac{1}{3}$ be the vertices of a triangle. Let R be the region consisting of all theose points P inside $Δ O A B$ which satisfy $d (P, O A) \leq min [d (P, A B)],$ where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

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Elijah Discussed

Let

O (0, 0), A (2, 0), and B (1, \frac{1}{3}

be the vertices of a triangle. Let R be the region consisting of all theose points P inside

Δ O A B

which satisfy

d (P, O A) \leq min [d (P, A B)],

where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

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Question Text

Let

O (0, 0), A (2, 0), and B (1, \frac{1}{3}

be the vertices of a triangle. Let R be the region consisting of all theose points P inside

Δ O A B

which satisfy

d (P, O A) \leq min [d (P, A B)],

where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.