6
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1: $60$ $60$ $60$
2: $\frac{n(n+1)(2n+1)}{6}$
3: $\sqrt{s(s-a)(s-b)(s-c)}$
4: $\frac{21}{7}$
5: 25, 36, ?
6: $>90$

Find what all of these mean or what they represent

(What I mean is that tell me what each of 1 to 6 is)

Hint 1:

When I read the answer given, I can’t help but laugh

Hint 2:

@Glorfindel got the topic right

Hint 3:

For #5, it has nothing to do with square numbers or equations relating to it

Hint 4:

Five relates to one in a way

Hint 5:

As in angles. I just picked random two numbers so that both of them added up wouldn't be greater than 179 degrees

Hint 6:

You need to find the other angle

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2 Answers 2

5
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I can link at least four to a common theme:

triangles

as follows:

1. the angles of an equilateral triangle
2. the formula for the pyramid numbers; four sides of those pyramids look like triangles
3. Heron's formula for the area of a triangle
4. a simple division yielding 3, the number of sides in a triangle
5. 49 — given 25, 36 or 49 equilateral triangles, it's possible to create another one with sides 5, 6 resp. 7 times the original (like this)
6. an obtuse triangle has an angle greater than 90 degrees

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6
  • $\begingroup$ 4 might simply be rot13(guerr fvqrf)!! $\endgroup$
    – Stiv
    Mar 30, 2020 at 8:40
  • $\begingroup$ @Stiv could be, but why this specific numerator & denominator? $\endgroup$
    – Glorfindel
    Mar 30, 2020 at 8:42
  • 1
    $\begingroup$ 5 can be rot13(Clguntberna gurberz) or rot13(nphgr gevnatyr) $\endgroup$
    – Swati
    Mar 30, 2020 at 8:45
  • $\begingroup$ About 4: Gur cv nccebkvzngvba, nygubhtu vg'f npghnyyl 22/7 $\endgroup$ Mar 30, 2020 at 9:18
  • $\begingroup$ @Glorfindel You got 5 wrong... I'll add a hint $\endgroup$
    – user65687
    Apr 5, 2020 at 1:05
0
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1) 60,60,60 The sum of the three angles of any triangle in Euclidian space is 180 degrees.
2) the number of squares in a $n*n$ square grid
3) Heron's formula for area of triangles
4) trisection
5) 5-2=3, 6-3=3. This is the only relation I can see between 1 and 5.
6) triangle with an angle greater than 90 degrees

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1
  • $\begingroup$ For number 5 we can answer also as follows, (3^2+6^2)-(2^2+5^2)=4^2 so we have 16,25,36. $\endgroup$ Apr 5, 2020 at 18:28

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