This Is Not For Everyone (mr Shape) - Education - Nairaland
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| This Is Not For Everyone (mr Shape) by ifada123(op): 12:28pm On Apr 27, 2019 |
Find the value of x in the square
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| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 1:08pm On Apr 27, 2019 |
Difficulty : Low Anyone, I am back let's kill this. |
| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 1:11pm On Apr 27, 2019 |
No delay. If by 8pm not answer I will post solution |
| Re: This Is Not For Everyone (mr Shape) by Martinez39(m): 1:15pm On Apr 27, 2019 |
  X = (17 + 4√14)½ ≈ 4.68685711 units. |
| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 1:22pm On Apr 27, 2019 |
Martinez39:Try again sir 1 Like 1 Share |
| Re: This Is Not For Everyone (mr Shape) by Martinez39(m): 1:47pm On Apr 27, 2019 |
ifada123:I will wait for your solution. |
| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 3:24pm On Apr 27, 2019 |
Martinez39:Ok let others try it too, I will drop solution later |
| Re: This Is Not For Everyone (mr Shape) by Martinez39(m): 3:48pm On Apr 27, 2019 |
| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 3:55pm On Apr 27, 2019 |
Martinez39:Correct now, Show full workings |
| Re: This Is Not For Everyone (mr Shape) by Martinez39(m): 3:58pm On Apr 27, 2019 |
ifada123:The number (17 + 4√14)½ is exactly what I posted before but I pressed wrongly on my calculator and got an inaccurate decimal approximation. I will post my workings soon. 1 Like |
| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 4:05pm On Apr 27, 2019 |
Martinez39:I observed that |
| Re: This Is Not For Everyone (mr Shape) by Martinez39(m): 4:28pm On Apr 27, 2019 |
NB: I don't know basic geometry too well like ifada123 so I used coordinate geometry. 1) label the bottom left vertex, the bottom right vertex, top left vertex and top right vertex as A, B, C and D respectively. 2) Place the square on a coordinate plane with A at the origin, AB on the positive x-axis and AC on the positive y-axis. Hence the coordinates of the vertices are A(0, 0), B(x, 0), C(0, y) and D(x, y). Let the coordinates of the intersection point H in the square be (a, b). Observe that |AB| = |AC| since they are sides of a square. Therefore x = y. 3) Using the distance formula, we have |HA|² = a² + b² = 5² = 25 |HB|² = (a - x)² + b² = 4² = 16 |HD|² = (a - x)² + (b - y)² = 3² = 9 Expanding, substituting and using the fact that x = y, we have : a = (x² + 9)/2x and b = (x² + 7)/2x. Since a² + b² = 25, substitute and solve for x. You will get an equation quadratic in form, which is x⁴ - 34x² + 65 = 0. Using the quadratic formula, x² = 17 ± 4√14. The value 17 - √14 yields an area for the square which is too small to contain the line segments hence x = (17 + 4√14)½ ≈ 5.65390392 units. |
| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 4:35pm On Apr 27, 2019 |
Martinez39:Nice work I will post mine using basic geometry soon |
| Re: This Is Not For Everyone (mr Shape) by Nobody: 6:39pm On Apr 27, 2019 |
@ifada123 can you suggest books or sites containing practice problems on shapes? |
| Re: This Is Not For Everyone (mr Shape) by femi4: 7:09pm On Apr 27, 2019*. Modified: 8:50pm On Apr 27, 2019 |
x² = 41 -40cosa x² = 25 - 24cos b Cos a = (41-x²)/40 Cos b = (25-x²)/24 40 cosa -24 cosb = 16 5 cosa - 3 cosb = 2 Also, (x√2)² = 5²+3² - 30 cos (360 - (a+b)) X² = 31 - 30 cos (a+b) X² = 31 - 30 cosa cosb - sina sinb
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| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 12:04am On Apr 28, 2019 |
Darivie04:I usually get my shapes from accumulated friends around the world they know I am a lover of shape, when they get difficult or interesting shapes they send to me for my attempt, that's why I have a large volume of shapes, no books no specific site, |
| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 12:08am On Apr 28, 2019 |
femi4:
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| Re: This Is Not For Everyone (mr Shape) by ifada123(op): 8:38am On Apr 28, 2019 |
Darivie04:I remember a friend told me of an app some years ago, that u subscribe and they teach u shape, but I did not take him serious then, because I prefer attempting it myself, But I will ask him to give more details about it, If u are interested, or if that's is what you think u need |
| Re: This Is Not For Everyone (mr Shape) by Nobody: 8:26am On Apr 30, 2019 |
ifada123:I'm interested |
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