# MIRB14

+1
654
4
+113
MIRB14  Mar 4, 2018
+1
634
1
+113

### In the figure, $PA$ is tangent to semicircle $SAR$, $PB$ is tangent to semicircle $RBT$, and $SRT$ is a straight line. If arc $AS$ is $58^\c MIRB14 Feb 19, 2018 +2 689 2 +113 ### In triangle$ABC$,$AB = 5$,$AC = 6$, and$BC = 7$. Circles are drawn with centers$A$,$B$, and$C$, so that any two circles are externall MIRB14 Feb 7, 2018 +2 754 1 +113 ### In regular octagon$ABCDEFGH$,$M$and$N$are midpoints of$\overline{BC}$and$\overline{FG}$respectively. Compute$[ABMO]/[EDCMO]$. ($[A

MIRB14  Jan 29, 2018
+1
1274
4
+113

### In square $ABCD$, $E$ is the midpoint of $\overline{BC}$, and $F$ is the midpoint of $\overline{CD}$. Let $G$ be the intersection of $\overl MIRB14 Jan 20, 2018 +1 1253 2 +113 ### The smaller square in the diagram has side length 1. Equilateral triangles are constructed on its four sides, as shown. What is the area of MIRB14 Jan 17, 2018 +2 795 4 +113 ### A circle is drawn that intersects all three sides of triangle PQR as shown below. Prove that if AB = CD = EF, then the center of the circle MIRB14 Dec 17, 2017 +2 1345 1 +113 ### Angle bisectors TX and UY of triangle TUV meet at point I. Find all possible values of angle V if angle TIU = 109 degrees. As your answer, MIRB14 Dec 13, 2017 +3 2372 3 +113 ### A square$DEFG$varies inside equilateral triangle$ABC,$so that$E$always lies on side$\overline{AB},F$always lies on side$\overlin

MIRB14  Dec 8, 2017
+2
718
1
+113

### In the staircase-shaped region below, all angles that look like right angles are right angles, and each of the eight congruent sides marked

MIRB14  Dec 4, 2017