With the given interior angles of triangle ABC and the distances from point D to the vertices, what are the lengths of the…

# Category: Test Yourself

## Test Yourself 57: At the Corner of the Box

In square JKLM, L is the center of the circle. KR is tangent to the circle at R, MT is tangent to the…

## #56: Bisector, Circumcenter, Isosceles

Isosceles triangle ABC has circumcenter Q. BD is the bisector of angle B. What is angle ADQ?

## Test Yourself 55: X Marks the Spot

What is the radius of the excircle (or escribed circle)? For the solution to this problem (and much more), please visit our website…

## Test Yourself 53: Orthocenter

In triangle ABC, O is the orthocenter. AO is twice as long as OC. What are the other two sides and angles of…

## Test Yourself 52: Think Parallel

In triangle ABC, AB = 400.000′, BC = 500.000′, M is the midpoint of AC, BD is the bisector of angle ABC and…

## Test Yourself 54: Two Squares

Square ABCD is 640 acres. Square CEFG is 360 acres. Diagonal GE prolonged intersects AB at H. BJ is parallel with GEH. What…

## Test Yourself 51: 4 Squares

Square ABCD, one mile on a side, contains squares R, S, and T, all with a common diagonal. Angle ECF equals 45°. What…

## Test Yourself 50: Radical, Dude!

Circle with center Q is orthogonal to the other three circles. What are the coordinates of its center? What is its radius? For…

## Test Yourself 49: No Dimensions

In square A-C-D-B with side S, C-E is tangent to the semicircle Q1 with diameter B-D. Q2 is the inscribed circle of A-C-E….