# In triangle trs, vz = 6 inches. what is rz?

In very triangle, vz = 6 inches. what is rz? 3 inch 6 inch 12 inch 18 inch

we know that in a triangle, a median is created by a vertex connected to the midpoint of the opposite side. Where the three lines intersect is the centroid, which is also the “center of mass” In this problem In triangle TRS, the point Z is the centroid The centroid property says that Find the value of RV we then Find the value of RZ, so the answer is RZ is

Step by step explanation In the triangle TRS, the point Z is the center of gravity
RV=RZ+VZ
The centroid property indicates that
RZ=frac{2}{3} RV VZ=frac{1}{3} RV
Find the value of VR
We have
VZ = 6 inches
then
RV=3VZ=3*6=18 inches
Find the value of RZ
RZ=frac{2}{3} RV RZ=frac{2}{3}*18=12 inches
Therefore
RZ is 12 inches ⊕∨⊕

Hope this helps.

12 inches. The distance from the vertex to the center of gravity is equal to 2 times the distance from the center of gravity to the opposite side.

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Part 1) we know that the centroid of a triangle is the center of the triangle which can be calculated as the point of intersection of the three medians of a triangle. The centroid divides each median into two segments whose lengths are in the ratio, so we have a Find RZ surrogate, so the answer Part 1) is option C Part 2) Statements case A) ∠BEC is an exterior angle The statement is false Because, ∠BEC is an interior angle if B) ∠DEC is an exterior angle. we know that an exterior angle is formed by one side of a triangle and the extension of the other side, so The statement is true if C) ∠ABE and ∠EBC are supplementary angles. we know that ∠ABE+∠EBC= ——-> by supplementary angles, so The statement is True if D) ∠BCF and ∠BEC are supplementary angles The statement is false Because the only way it is true is that the triangle BEC is isosceles and that ∠BEC is equal to ∠BCE if E) ∠BEC is an interior angle far from the exterior F.∠BCF we know that the interior angles far are the interior angles of a triangle which do not are not adjacent at a given angle. Each interior angle of a triangle has two exterior angles that are far apart. In this problem ∠BEC has two distant exterior angles (∠BCF and ∠EBA) so the statement is true

Part 1) we know that the centroid of a triangle is the center of the triangle which can be calculated as the point of intersection of the three medians of a triangle. The centroid divides each median into two segments whose lengths are in the ratio, so we have a Find RZ surrogate, so the answer Part 1) is option C Part 2) Statements case A) ∠BEC is an exterior angle The statement is false Because, ∠BEC is an interior angle if B) ∠DEC is an exterior angle. we know that an exterior angle is formed by one side of a triangle and the extension of the other side, so The statement is true if C) ∠ABE and ∠EBC are supplementary angles. we know that ∠ABE+∠EBC= ——-> by supplementary angles, so The statement is True if D) ∠BCF and ∠BEC are supplementary angles The statement is false Because the only way it is true is that the triangle BEC is isosceles and that ∠BEC is equal to ∠BCE if E) ∠BEC is an interior angle far from the exterior F.∠BCF we know that the interior angles far are the interior angles of a triangle which do not are not adjacent at a given angle. Each interior angle of a triangle has two exterior angles that are far apart. In this problem ∠BEC has two distant exterior angles (∠BCF and ∠EBA) so the statement is true

The information provided was insufficient to answer this question.

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