Back to the ladder problem… Here is the diagram from Slide 1 of the ladder against the wall: 6m 2m Can you re-draw this as a right-angled triangle? Try drawing the triangle in your notebook. Remember to mark the two lengths (6m and 2m) on your triangle…
Using Pythagoras 6m 2m Does your triangle look like this?
It’s an algebra problem… 6m 2m 6 2 = 2 2 + b 2 36 = 4 + b 2
Final Steps… 36 = 4 + b 2 -4 -4 32 = b 2 b = b = 5.66 to 2 d.p.
That’s it! <ul><li>Constructed a right-angled triangle. </li></ul><ul><li>Used the Pythagorean Theorem to make an equation. </li></ul><ul><li>Solved the equation using algebra. </li></ul><ul><li>Found the answer! </li></ul>Here’s what we did…
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