Question 44
Suppose both the triangles $ABC$ and $PQR$ are right isosceles triangles with $\angle ACB = \angle PQR = 90^\circ$ and $AB = 5$, $PR = 3$ are satisfied. Suppose further that the 3 points $A, P, Q$ lie on a straight line in the written order, and the same is true for the 3 points $B, Q, R$, and also for the 3 points $R, C, P$. Determine the value of the area of the triangle $ABQ$. Here for a line segment $XY$ its length is also denoted by $XY$.
