MHB Can you find the area of the blue triangle in just 3 minutes?

Thread starter Lorena_Santoro
Start date Dec 29, 2021
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Area Triangle

Dec 29, 2021

Lorena_Santoro

Mathematics news on Phys.org

Jan 3, 2022

skeeter

similar triangles ... the blue area is 75 - 12

Jan 3, 2022

Lorena_Santoro

skeeter said:

similar triangles ... the blue area is 75 - 12

Thanks!

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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Thread 'Arithmetic and our place value system'

A power has two parts. Base and Exponent. A number 423 in base 10 can be written in other bases as well: 1. 4* 10^2 + 2*10^1 + 3*10^0 = 423 2. 1*7^3 + 1*7^2 + 4*7^1 + 3*7^0 = 1143 3. 7*60^1 + 3*60^0 = 73 All three expressions are equal in quantity. But I have written the multiplier of powers to form numbers in different bases. Is this what place value system is in essence ?

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Thread 'Six Pencil Puzzle'

Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.

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MHB Can you find the area of the blue triangle in just 3 minutes?

Thread 'Trigonometry problem of interest'

Thread 'Arithmetic and our place value system'

Thread 'Six Pencil Puzzle'

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