Question

gianna is constructing a circle that passes through all three vertices of the triangle shown. where will the center of the circle be located? a. inside the triangle b. on a side of the triangle c. on a vertex of the triangle d. outside the triangle

Explanation:

The center of a circle that passes through all three vertices of a triangle is called the circum - center. For an acute - angled triangle, the circum - center is inside the triangle; for a right - angled triangle, it is on the hypotenuse (a side of the triangle); for an obtuse - angled triangle, it is outside the triangle. The given triangle appears to be an obtuse - angled triangle (angle B seems to be greater than 90 degrees), so the center of the circum - circle will be outside the triangle.

Answer:

D. outside the triangle