be a point inside equilateral triangle 
such that 
,
.
in degrees.
and 
intersect at the point 
.
?
,
.
are chosen from 0 to 1. What is the probability that their positive difference is more than 
?
?
families, there are 
children respectively. If a random child from any of the families is chosen, what is the probability that the child has 
siblings? Express your answer as a common fraction.[/quote]
,
people, exactly 
such that 
.
,
lies on diagonal 
such that 
.
.
has 
,
,
.
.
Y by
Is it possible to dissect an isosceles right triangle into multiple similar triangles such that none of them are congruent? If so, provide an example. If not, prove it is impossible.
This post has been edited 1 time. Last edited by peace09, Aug 2, 2022, 2:25 PM
is irrational?
![[asy]
pair A,B,C,D,E,F,G,H;
A=(0,0);
B=(7,0);
C=(0,7);
D=(4,3);
E=(0,3);
F=(2,1);
G=(1,0);
H=(0,1);
draw(A--B--C--cycle);
draw(D--E--F--cycle);
draw(F--G--H--cycle);
[/asy]](http://latex.artofproblemsolving.com/9/e/2/9e2ba059fa26ebd115ed00773cebd9d977fd0a4c.png)
