2 SIMILARITY TOUGHIES |
Hints:
in these 2 tough geometry/similarity questions from past final exams, it really helps to
1 -- use colors to outline the triangles you're comparing
2 -- identify the angles with letters
3 -- look for all proportions that might lead to the solution.
Go to it.
1)
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2) Measures are as shown in cm. Find the length of EF.
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Solutions
1)
Step 1: find h using Pythagoras: h = 29.14
Step 2: compare big red ABC to small blue ABH
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2) Measures are as shown in cm. Find the length of EF.
Label EF as x and CF as a.
Now we compare triangles AEF and ABC (big/small)
Now we compare triangles AFG and ACD (big/small)
So,
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