What is the circumcenter of a triangle with the coordinates of (-3,3) (-3,-2) (1,-2)
1 answer:
Answer:
We know that the circumcenter of a right triangle is at the center of the hypotenuse.
Thus, the circumcenter of a triangle is: C(-1, 1/2)
Please check the attached figure.
Step-by-step explanation:
Given the triangle with the coordinates of the vertices
- (-3, 3)
- (-3, -2)
- (1, -2)
First plot the points on the graph, as shown in the attached diagram.
It is clear from the attached diagram that it forms a right triangle.
- We know that the circumcenter of a right triangle is at the center of the hypotenuse.
From the attached diagram, it is clear that the center of the hypotenuse lies on C(-1, 1/2).
Thus, the circumcenter of a triangle is: C(-1, 1/2)
Please check the attached figure.
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Answer: m∠E = 55°
Step-by-step explanation: If a triangle has two equal sides, it is called Isosceles. Another characteristics of this type of triangle is that the angles opposite the equal sides are also congruent.
Triangle ΔEFG has two sides with approximately the same length:
≈
So, it is an isosceles.
Therefore the opposite angles are m∠E and m∠F.
m∠E = m∠F
m∠E = 55°
Angle at vertex E is 55°.