Geometry Problem for High School

1. ABCD is a square with E insides it. If ABE is a equilateral triangle, then <BEC = ....

2.   Below is the picture of semicircle with diameter AC. AB is 3 units longer than BC. If BD= 5 units and perpendicular with AC, then BC = .... 

Geometry Problem for High School

California Geometry: Concepts, Skills, and Problem Solving


1. In circle O, <PRS= 50⁰ and
 

Find the measure of <QPR.

2. Given that HURN is a square of side x and ∆HUT is equilateral. What is the area of ∆UER in terms of x?

     From: MSA Math Competition High School