Question

18. In \triangle STR, H is the centroid, $EH = 6$, $DH = 4$, and $SM = 24$. Find each measure. A. SH B. TH 19. Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition. A. measures less than $m\angle 1$ B. measures less than $m\angle 9$ C. measures greater than $m\angle 5$ D. measures greater than $m\angle 8$ \begin{tikzpicture}[scale=0.8] \draw (0,0) -- (3,2) -- (6,0) -- cycle; \draw (3,2) -- (3,0); \draw (0,0) -- (6,0); \node at (1,0.5) {1}; \node at (2,0.5) {3}; \node at (4,0.5) {5}; \node at (5,0.5) {6}; \node at (1.5,1.5) {2}; \node at (2.5,1.5) {4}; \node at (4.5,1.5) {7}; \node at (3.5,0.5) {8}; \node at (5.5,0.5) {9}; \end{tikzpicture}

          18.
In \triangle STR, H is the centroid, $EH = 6$, $DH = 4$, and $SM = 24$.
Find each measure.
A. SH
B. TH
19. Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated
condition.
A. measures less than $m\angle 1$
B. measures less than $m\angle 9$
C. measures greater than $m\angle 5$
D. measures greater than $m\angle 8$
\begin{tikzpicture}[scale=0.8]
\draw (0,0) -- (3,2) -- (6,0) -- cycle;
\draw (3,2) -- (3,0);
\draw (0,0) -- (6,0);
\node at (1,0.5) {1};
\node at (2,0.5) {3};
\node at (4,0.5) {5};
\node at (5,0.5) {6};
\node at (1.5,1.5) {2};
\node at (2.5,1.5) {4};
\node at (4.5,1.5) {7};
\node at (3.5,0.5) {8};
\node at (5.5,0.5) {9};
\end{tikzpicture}

18.
In STR, H is the centroid, EH = 6, DH = 4, and SM = 24.
Find each measure.
A. SH
B. TH
19. Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated
condition.
A. measures less than m∠ 1
B. measures less than m∠ 9
C. measures greater than m∠ 5
D. measures greater than m∠ 8
[scale=0.8]
(0,0) – (3,2) – (6,0) – cycle;
(3,2) – (3,0);
(0,0) – (6,0);
at (1,0.5) 1;
at (2,0.5) 3;
at (4,0.5) 5;
at (5,0.5) 6;
at (1.5,1.5) 2;
at (2.5,1.5) 4;
at (4.5,1.5) 7;
at (3.5,0.5) 8;
at (5.5,0.5) 9;

Added by Cody P.

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