Problem 1 :
In rectangle ABCD above, E is on DC, F is on BC, DE = 6 and FC = 1. If the angle A is trisected (divided into three equal angles) by AE and AF, what is the length of BF ?
(a) 5 (b) 5√2 - 1 (c) 5√3-1 (d) 6√3-1
Problem 2 :
In triangle ABD above, AB = 10, AC = 6 and CD = 8√3. What is the length of BD ? Solution
Problem 3 :
In triangle ABC above, the lengths of the sides relate to one another as shown. If the new triangle is created by increasing s by 40 percent and maintaining the relationships among the sides, the area of the new triangle is how many times greater than the area of the triangle ABC ?
(a) 1.16 (b) 1.96 (c) 1.98 (d) 2.16
Problem 4 :
In the figure above, ACDE is square and ABC is a right triangle. If AB = 3 and BC = 5, what is the length of BD ?
(a) √53 (b) √62 (c) 8 (d) √65
Problem 5 :
In triangle ABD above, AC = 5 and BD = 10. What is the length of CD ? Solution
Problem 6 :
In the figure shown, ΔPQT is a right triangle, and QRST is a square. Find the area of the square, QRST
Problem 7 :
Using the figure above, we are given that the perimeter of ΔABC is 4 + 2√2. Find the value of y.
Problem 8 :
Using the figure above, we are given that QRST is a rectangle, and y = 30º. Find the length of RQ.
Problem 9 :
Given a square with diagonal of length 6, calculate the area of the square.
(a) 9 (b)12 (c) 18 (d) 24 (e) 36
Problem 10 :
What is the length of AC.
(a) 5√3 (b) 10 (c) 15 (d) 10√3
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM