21-Topaz I

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Find the length AB.

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Elementary schoole children can solve this puzzle. If you need you can use Mathcad Prime.

1_P9-Puzzle-37_find_AB.zip

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terryhendicottAnswer

21-Topaz II

A

AlfredFlaßhaar

15-Moonstone

There are two intermediate solutions. In the end AB=11 in any case 😉

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terryhendicott

Answer

21-Topaz II

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1_240324-Puzzle-37.zip

ttokoro

Author

21-Topaz I

If we use Mathcad it is easy to find the answer. But without sqrt or functions, this puzzle becomes very hard.

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t.t.

A

AlfredFlaßhaar

15-Moonstone

This task is not particularly difficult. Students should be able to solve it using the cosine law for side length and the sine formula for the area of a triangle. What is much more interesting about this problem is that solution "11" is possible in two different geometric situations.

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terryhendicott

21-Topaz II

Hi,

Prime 9 Express version:

Cheers

Terry

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1_240324-Puzzle-37-Express.zip

A

AlfredFlaßhaar

15-Moonstone

Additional task: 😉

Given pieces and requirements as usual.

But:

Instead of the given area F=60, the distance AC must now be calculated so that the area of the triangle ABC is maximum. How big is the interior angle at C?

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A

AlfredFlaßhaar

15-Moonstone

Correction:
With the unusual names of the triangle vertices as shown in the sketch in the original problem, the distance AB is logically sought. I accidentally had the usual point designation in my head, where A and B limit the lower side of the triangle and C is the summit.

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