Basic Math Problem of the Week 9/21/2017

  • Thread starter PF PotW Robot
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In summary, the conversation discusses a basic math problem and encourages the community to find different methods to solve it. The problem involves proving an inequality using Ptolemy's theorem and Ptolemy's inequality. Prizes may be awarded for clever solutions.
  • #1
PF PotW Robot
Here is this week's basic math problem. We have several members who will check solutions, but we also welcome the community in general to step in. We also encourage finding different methods to the solution. If one has been found, see if there is another way. Using spoiler tags is optional. Occasionally there will be prizes for extraordinary or clever methods.

The sum of the angles ##A## and ##C## of a convex quadrilateral ##ABCD## is less than ##180^\circ##.

Prove that ##AB\cdot CD+AD \cdot BC <AC(AB+AD)##

(PotW thanks to our friends at http://www.mathhelpboards.com/)
 
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  • #2
Hint: Ptolemy's theorem and Ptolemy's inequality.
 

Related to Basic Math Problem of the Week 9/21/2017

1. What is the "Basic Math Problem of the Week" for 9/21/2017?

The "Basic Math Problem of the Week" for 9/21/2017 is a mathematical equation or problem that is chosen and shared by a math organization or website on a weekly basis. It is meant to challenge individuals to use their basic math skills to solve the problem.

2. Where can I find the "Basic Math Problem of the Week" for 9/21/2017?

The "Basic Math Problem of the Week" for 9/21/2017 can be found on various math websites, social media pages, or through math organizations. You can also search for it using specific keywords on a search engine.

3. Is the "Basic Math Problem of the Week" for 9/21/2017 suitable for all ages?

The "Basic Math Problem of the Week" for 9/21/2017 may vary in difficulty, but it is generally suitable for individuals of all ages who have basic math skills. It can be a fun and educational activity for children, as well as a challenge for adults.

4. Can I solve the "Basic Math Problem of the Week" for 9/21/2017 using a calculator?

Yes, you can use a calculator to solve the "Basic Math Problem of the Week" for 9/21/2017. However, it is recommended to try solving it without a calculator first to practice your mental math skills.

5. Are there any prizes for solving the "Basic Math Problem of the Week" for 9/21/2017?

It depends on the organization or website hosting the "Basic Math Problem of the Week". Some may offer prizes or rewards for solving the problem correctly, while others may simply provide the solution and encourage individuals to participate for the challenge and practice.

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