Andrew draws a scale drawing of his office. In each 5cm on the scale drawing equals 10ft, what are the actual dimensions of Andr
ews office? (Picture above)
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Answer:
see attached
Step-by-step explanation:
The first application of the Pythagorean theorem is used to find the diagonal of one face. That is called 'a' in this problem. Then the second application of the Pythagorean theorem uses that value of 'a' along with the remaining prism dimension to find the space diagonal 'c'.
- 6² +8² = a²
- 12² +a² = c²
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You don't actually have to find 'a', because you only need the value of a². Using the first equation to substitute into the second equation gives ...
6² +8² +12² = c²
