Dr Rick

Legendary king of the Viking wizards. Often found disguised as a gentleman.

[Dr Rick @rfbooth]

@sonukg4india Let the 36 be x×(72/x), and the 20 be (40/y)×y.
Then (y-72/x)(x-40/y)=32.
xy + 2880/xy = 144
A²-144A+2880=0=(A-120)(A-24)

A = 36+20+16+?, so A=120 and ?=48.

[Dr Rick @rfbooth]

@codek_tv More like vibe code geek, by the looks of this nonsense.

[Dr Rick @rfbooth]

@GonetoBlueSky8 @codek_tv No, it gives m²+n²+2mn=16, and if course mn=1 by definition. Hope that helps.

[Dr Rick @rfbooth]

@hope_dies_again @Ginger_Tucci @CJ_7171 I assume you are referring here to the Palestine Action activists, who have not in fact been found guilty of any offence. No doubt you know more about all that than the jury did, though.

[Dr Rick @rfbooth]

@SilverBali7 Nice.

[Dr Rick @rfbooth]

@MatildaSpicer I think we need to consider some lengths.

[Dr Rick @rfbooth]

@MatildaSpicer A=25 (segment)
So alpha=55 (triangle with exterior 80)
So x+55=100
So x=45.

[Dr Rick @rfbooth]

@MatildaSpicer 5cos(arccos(⅗)-45°)=(3+4)/√2
=7/√2, so 49/2.

[Dr Rick @rfbooth]

@ybgoi Mass points for this configuration are A2, B4, C1, giving D6 and E3. Thus DP:PC=1:6, and [ADP]=⅔×⅙×[ABC]=⅑[ABC].
Now let vector BC=p and BA=q.
So DC is p-⅓q, PA=-⅐(p-⅓q)+⅔q.
So directions are 3p-q, -p+5q.
The dot is -3p.p+16p.q-5q.q=0, so perpendicular.

[Dr Rick @rfbooth]

@viterick Thirty.

[Dr Rick @rfbooth]

@sonukg4india Thirty.

[Dr Rick @rfbooth]

@SilverBali7 Three tenths.

[Dr Rick @rfbooth]

@ai_meh_s @Asadthegeek @BiancaDante27 @viterick @il1123 @ohmohm I don't mean to be rude, and I appreciate the compliment inherent, but I now have about sixty notifications for these threads. Please don't tag me in problems (unless I wrote them).

[Dr Rick @rfbooth]

@mnd233445 Shoelace Theorem for the easy win.

[Dr Rick @rfbooth]

@MatildaSpicer Lovely.

[Dr Rick @rfbooth]

@sonukg4india Masses A(1), B(1), C(2) give F at centre. So CD=FD and AF=3EF. So [DAF]=[CAF]=3[CEF], which means the answer is ⅓. The equal angles are irrelevant.

[Dr Rick @rfbooth]

@MatildaSpicer Sixty-three.

[Dr Rick @rfbooth]

@viterick Nice.

[Dr Rick @rfbooth]

@sonukg4india 121.