The circumcenter (O) is the point in the interior of ∠ABC that's equidistant from all the rays (vertices) of triangle ABC.
<h3>What is a locus?</h3>
In Geometry, a locus can be defined as a set of points which all meets and satisfies a stated condition for a geometrical figure (shape). This ultimately implies that, the locus of points defines a geometrical figure (shape) in geometry.
<h3>What is a
circumcenter?</h3>
A circumcenter can be defined as the point where perpendicular bisectors (right-angled lines to the midpoint) of the sides of a triangle meet together or intersect.
In this context, we can infer and logically deduce that the circumcenter of any triangle is always equidistant from all the rays (vertices) of that triangle.
In triangle ABC (see attachment), the circumcenter can be determined by drawing the perpendicular bisectors (right-angled lines to the midpoint) of both sides AC and CB.
By critically observing the diagram (see attachment) of these triangles, we can logically deduce that point O is where these perpendicular bisectors meet together or intersect.
In conclusion, the circumcenter (O) is the point in the interior of ∠ABC that's equidistant from all the rays (vertices) of triangle ABC:
OA = OB = OC.
Read more on the locus of points here: brainly.com/question/3678578
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Answer:
<h3>Q1</h3>
It is false as straight angle is not acute, obtuse or right.
<u>Correct choice is </u>
- D. false; m∠1 = 102°, ∠1 is not a straight angle
<h3>Q2</h3>
It is false as right angle is not acute, obtuse or straight.
<u>Correct choice is </u>
- 1. false; m∠1 = 70°, ∠1 is not a right angle.
1/4, 7 goes into 28 four times, divide both numbers by 7 and you get 1/4
Answer:
Step-by-step explanation:
ΔBDC and ΔCDA are similar (AA). Therefore the sides are in proportion:
We have:
BD = 4, DA = 16 and DC = f. Substitute:
<em>cross multiply</em>
We can use the Pythagorean theorem:
ΔBDC:
leg = 4, leg = 8, hypotenuse = a. Substitute:
ΔCDA:
leg = 8, leg = 16, hypotenuse = b. Substitute:
Answer:
5 in the 85327= five thousand units
5 in the 435= five units
Step-by-step explanation:
85,327= eighty five thousand, three hundred and twenty seven
Value of five or the position if five in the above number is the thousand position
5 in the above = five thousand unit
435= four hundred and thirty five
The position of five in the above number is the unit position
Five in the above= five unit