https://padlet.com/ilimonch/w95c591sg9a1q32n Upload a solution from your group discussion en-us 2020-11-18 00:52:28 UTC 2025-11-13 19:48:17 UTC hello@padlet.com ilimonch https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/934623871 2020-11-18 01:02:35 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/934623871 ilimonch https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/934624357 2020-11-18 01:02:50 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/934624357 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938826801 2^(1/2)a]]> 2020-11-18 20:47:21 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938826801 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938828235 FBEDAC]]> 2020-11-18 20:47:46 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938828235 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938836969 F, E, A, B, C, D (probably wrong lol)]]> 2020-11-18 20:50:18 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938836969 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938837987 The maximum area occurs when there is a 90 degree angle.
According to phyatogrean theorem, the length of a triangle is a^2+b^2=c^2
since a and b are equal it becomes 2x^2= c^2
therefore the length is sqrt 2 times x. ]]> 2020-11-18 20:50:36 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938837987 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938842499 F, E, B, C , A, D]]> 2020-11-18 20:51:49 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938842499 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938843186 F, E, A, D,B, C]]> 2020-11-18 20:52:01 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938843186 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938843596 0.5a^2]]> 2020-11-18 20:52:08 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938843596 thecamcalder2 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938844487 sqrt(2) times a

]]> 2020-11-18 20:52:22 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938844487 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938845119 2020-11-18 20:52:29 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938845119 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938845330 Since the area of an isosceles triangle is maximized when the triangle is a right triangle, we can use the Pythagorean Theorem of a^2+b^2=c^2 to solve this problem. In this case, we will define the two equal sides as having length b, and the unknown side as side a.]]> 2020-11-18 20:52:33 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938845330 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938845449 F, E, A, B, C ,D ]]> 2020-11-18 20:52:35 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938845449 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938845498 F,E,A,B,C,D]]> 2020-11-18 20:52:36 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938845498 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938846237 FEABCD]]> 2020-11-18 20:52:49 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938846237 tommyjiang1234 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938847857 We want a 90 degree angle, so we can first thinkl of our triangle as half of an equilateral, using height and two sides with length A we can deduce the length of the other side.
We can compute the derivative to max.
We will have a critical point -0 and eventually arrive at x = a/root2]]> 2020-11-18 20:53:16 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938847857 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938848954 A = ½[√(a² − b² ⁄4) × b]]]> 2020-11-18 20:53:33 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938848954 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938851028 F E C]]> 2020-11-18 20:54:10 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938851028 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938853046 F E A B D C]]> 2020-11-18 20:54:43 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938853046 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938854673 the length of the third side that maximizes the area of the triangle is a

]]> 2020-11-18 20:55:10 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938854673 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938855018 THE TRIANGLE MUST BE RIGHT ISOSCELES TO GET THE AREA]]> 2020-11-18 20:55:15 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938855018 tommyjiang1234 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938855958 feabcd]]> 2020-11-18 20:55:31 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938855958 thecamcalder2 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938857101 f b d a e c]]> 2020-11-18 20:55:53 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938857101 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938859053 2020-11-18 20:56:30 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938859053 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938909715 the third side length should be the square root of 2*a^2.]]> 2020-11-18 21:11:41 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938909715 https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938918530 FABEDC]]> 2020-11-18 21:14:27 UTC https://padlet.com/ilimonch/w95c591sg9a1q32n/wish/938918530