Which of the following is equidistant from the vertices of a triangle? a.circumference b. centroid c.orthocentre d. incentre

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06-12-2022
Mathematics

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Which of the following is equidistant from the vertices of a triangle? a.circumference b. centroid c.orthocentre d. incentre

Sagot :

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angeltomasb1 angeltomasb1 · Answer 1 · 2022-12-07T16:40:49-05:00

(Option D. Incentre) The incentre of a triangle is the point equidistant from all three of the triangle's vertices. This means that its distance from each vertex is the same.

Which of the following is equidistant from the vertices of a triangle?

Option D. Incentre.

The incentre of a triangle is an important point of reference for geometry. It is located at the center of the triangle's inscribed circle, which is the circle that touches each of the triangle's three vertices. This is why the incentre is also known as the triangle's inner center or center of the triangle's inscribed circle. As it is equidistant from all three of the triangle's vertices, the incentre is useful for finding the angles of the triangle and for finding the lengths of the triangle's sides. It can also be used to calculate the area of the triangle.

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Sagot :

Which of the following is equidistant from the vertices of a triangle?

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