21-Topaz I

Solved

Find the length AB.

Forum|Forum|2 years ago
March 23, 2024
5 replies
5666 views

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

1_P9-Puzzle-37_find_AB.zip

Puzzles Games

Best answer by terryhendicott

A

AlfredFlaßhaar

15-Moonstone

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

T

terryhendicott

Answer

21-Topaz II

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.

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.

T

terryhendicott

21-Topaz II

Hi,

Prime 9 Express version:

Cheers

Terry

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?

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.

W

Werner_E