Resources for Pythagoras Word Problems
-
Questions
10
With Worked SolutionClick Here -
Video Tutorials
2
Click Here
Pythagoras Word Problems Theory
![\begin{multicols}{2} \textbf{Example 1}\\ The perimeter of a square is \(44 \text{~cm}\) Find the length of its diagonal (to 1dp).\\ \textbf{Example 1 solution}\\ \(\begin{aligned} d^2 & =11^2+11^2 \\ & =242 \\ d & =\sqrt{242} \\ & =15.6 \text{~cm}. \end{aligned}\)\\ \begin{center} \begin{tikzpicture}[scale=1] \coordinate[label=below right:] (O) at (0,0); \coordinate[label=above:] (A) at (0,3); \coordinate[label=below left:] (B) at (-3,0); \coordinate[label=above:] (D) at (-3,3); \draw[line width=1pt] (O)--(B)node[midway ,below] {11}--(D)node[left,midway]{11}--(A) node[midway,above] {11}--(O)node[midway ,right] {11}; \pic [draw=black,line width=1pt,angle radius=0.4cm,angle eccentricity=1.6,""] {right angle=B--O--A}; \draw[line width=1pt] (B)--(A)node[midway ,above left] {\(d\)}; \end{tikzpicture} \end{center} \columnbreak \textbf{Example 2}\\ The area of \(\triangle A B C\) is \(6 \mathrm{~cm}^2\).\\ \textbf{i)} Find \(A B\)\\ \textbf{ii)} Find \(A C\) \begin{center} \begin{tikzpicture}[scale=0.8] \coordinate[label=below right:B] (O) at (0,0); \coordinate[label=above:A] (A) at (0,4); \coordinate[label=below left:C] (B) at (-3,0); \draw[line width=1pt] (O)--(B)node[midway ,below] {3}--(A)node[left=4pt,midway]{}--(O) node[midway,right] {}; \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}\\ \(\begin{aligned} \textbf{i) } &\begin{aligned}[t] \text { Area }&=\frac{1}{2} \times 3 \times A B \\ \frac{3 A B}{2}&=6 \\ 3 AB&=12 \\ AB&=4 \text{~cm} . \end{aligned}\\ \textbf{ii) } &\begin{aligned}[t] A C^2 & =A B^2+B C^2 \\ & =4^2+3^2 \\ A C^2 & =25 \\ A C & =\sqrt{25} \\ A C & =5 \text{~cm} \end{aligned} \end{aligned}\) \end{multicols}](/media/wdeopb3l/9235.png)
NSW Y8 Maths Pythagoras Pythagoras Word Problems
Videos
Videos relating to Pythagoras Word Problems.
-
Pythagoras Word Problems - Video - Pythagoras Word Problems - Example 1
-
Pythagoras Word Problems - Video - Pythagoras Word Problems - Example 2
Plans & Pricing
With all subscriptions, you will receive the below benefits and unlock all answers and fully worked solutions.
-
Teachers TutorsFeaturesFreeProAll ContentAll courses, all topicsQuestionsAnswersWorked SolutionsSystemYour own personal portalQuizbuilderClass ResultsStudent ResultsExam RevisionRevision by TopicPractise ExamsAnswersWorked SolutionsAwesome StudentsFeaturesFreeProContentAny course, any topicQuestionsAnswersWorked SolutionsSystemYour own personal portalBasic ResultsAnalyticsStudy RecommendationsExam RevisionRevision by TopicPractise ExamsAnswersWorked Solutions