We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
171
1
avatar+45 

1. Two villages A and B lie on opposite sides of a straight river in the positions shown. The perpendicular distance from A to the river is 1 km and that from B to the river is 3 km. The river is 1 km wide and village B is 3 km down the river from village A. If we build a bridge in an optimal position across and perpendicular to the river, what is the shortest distance from A to the bridge, across the bridge, and onward to B? 

 

2. Let ABCDE be a convex pentagon with AB = BC and CD = DE. If m∠ABC = 120◦ , m∠CDE = 60◦ , and BD = 2, find the area of ABCDE. 

 

3. Point P is inside the square ABCD such that PA = 7, PB = 5, and PC = 1. What is the area of the square?

 

4. Trapezoid ABCD has height 4 and DC ∥ AB. The diagonals DB and AC are perpendicular to each other, and AC = 5. What is the area of the trapezoid?

 

5. Triangle ABC is isosceles with AB = AC. D is the midpoint of BC. E is on AC such that DE ⊥ AC. F is the midpoint of DE. The intersection of AF and BE is G. What is m∠AGE?

 

6. In trapezoid ABCD with AB ∥CD, m∠D AB +m∠CB A = 90◦ , AB = 20, and CD = 8. E and F are midpoints of AB and CD, respectively. What is the length of EF?

 Sep 3, 2019
 #1
avatar+45 
0

no one has answered this question lol... btw these problems are from mathcounts and I need help with them...

 Sep 7, 2019

12 Online Users

avatar
avatar