### Author Topic: Test 1 solutions  (Read 6819 times)

#### yongcheng3315

• USAMO Winner
• Posts: 2585
##### Test 1 solutions
« on: January 19, 2014, 02:43:08 PM »
Please post if you see any errors or you have a different solution.

Thanks!

New file just add one more solution to problem 18.
« Last Edit: April 09, 2015, 02:09:13 PM by yongcheng3315 »

#### sponge99

• Math Coach
• Mathcounts School Champion
• Posts: 2
##### Re: Test 1 solutions
« Reply #1 on: February 09, 2014, 03:32:48 PM »
For question 21) it was missing the diagram of the problem. Looking at the solution, I disagree, because triangles AEH and EFH are not congruent, they share the same base, but have different heights, therefore, we cannot have our solution as the sum of triangles EFH and CHG. I suggest putting the diagram onto a graph and finding the co-ordinates of H, so that you can insert more lengths.

#### yongcheng3315

• USAMO Winner
• Posts: 2585
##### Re: Test 1 solutions
« Reply #2 on: February 09, 2014, 09:02:39 PM »
For question 21) it was missing the diagram of the problem. Looking at the solution, I disagree, because triangles AEH and EFH are not congruent, they share the same base, but have different heights, therefore, we cannot have our solution as the sum of triangles EFH and CHG. I suggest putting the diagram onto a graph and finding the co-ordinates of H, so that you can insert more lengths.

Thanks for posting.

The figure was on the test before. It is as follows.

Please post any question you have. Thanks again!
« Last Edit: February 10, 2014, 10:36:32 AM by yongcheng3315 »