Resources for Mixed Problems
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Mixed Problems Theory
![\begin{multicols}{2} \textbf{Example 1}\\ Find the value of \(x\).\\ \begin{center} \begin{tikzpicture}[scale=0.5] \coordinate[label=below right:B] (O) at (0,0); \coordinate[label=above:A] (A) at (0,8); \coordinate[label=below left:C] (B) at (-3,0); \draw[line width=1pt] (O)--(B)node[midway ,below] {\(x\)}--(A)node[left=4pt,midway]{113}--(O) node[midway,right] {112}; \pic [draw=black,line width=1pt,angle radius=0.4cm,angle eccentricity=1.6,""] {right angle=B--O--A}; \end{tikzpicture} \end{center} \textbf{Example 1 solution}\\ \(\begin{aligned} AB^2+BC^2 & =AC^2 \\ 112^2+x^2 & =113^2 \\ x^2 & =113^2-112^2 \\ x^2 & =225 \\ x & =\sqrt{225} \\ & =\sqrt{15 \times 15} \\ \therefore x & =15 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Find the value of \(y\).\\ \begin{center} \begin{tikzpicture}[scale=0.5] \coordinate[label=below right:Q] (O) at (0,0); \coordinate[label=above:P] (A) at (0,3); \coordinate[label=below left:R] (B) at (-8,0); \draw[line width=1pt] (O)--(B)node[midway ,below] {143}--(A)node[above left,midway]{\(y\)}--(O) node[midway,right] {24}; \pic [draw=black,line width=1pt,angle radius=0.4cm,angle eccentricity=1.6,""] {right angle=B--O--A}; \end{tikzpicture} \end{center} \textbf{Example 2 solution}\\ \(\begin{aligned} PQ^2+QR^2 & =PR^2 \\ 24^2+143^2 & =y^2 \\ y^2 & =21025 \\ y & =\sqrt{21025} \\ \therefore y & =145 \end{aligned}\) \end{multicols}](/media/mwpncxal/9234.png)
NSW Y8 Maths Pythagoras Mixed Problems
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Videos relating to Mixed Problems.
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Mixed Problems - Video - Mixed Problems - Example 2
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