SOLUTION: A unit square is divided into 4 pieces using three cuts as shown. The four pieces can be rearranged to form an isosceles triangle. What is the length of the longest side of the tri
Algebra.Com
Question 411572: A unit square is divided into 4 pieces using three cuts as shown. The four pieces can be rearranged to form an isosceles triangle. What is the length of the longest side of the triangle?
It is problem number 18 on http://www.ncssm.edu/smc/tests/Test2009/geo_09.pdf
Please explain how to find the answer.
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
Area of unit square = 1 unit sq.
area of triangle is also equal to 1 unit sq.
height of triangle is equal to diagonal of square = 2^(1/2)
for isosceles triangle area = 1/2 * base * height
1= 1/2 * base * height
after solving it...
base = 2^(1/2)
using pythagoras theorem longest side = (5/2)^(1/2)
root(5/2)
correct option is (d) ...
RELATED QUESTIONS
Solve the following problems completely and logically.
Problem 1: Construct a... (answered by greenestamps)
how do i find the lenght of the three pieces? A 56 inch board is to be divided into 3... (answered by mananth,Maths68)
Please help me to solve this problem,
A bamboo stick 52 inches long is to be cut into... (answered by josgarithmetic)
`Solve the following problems completely and logically.
Problem 1: Construct a... (answered by MathLover1,MathTherapy)
Mark has a large pizza. What is the maximum number of pieces That can be made by using 12 (answered by Alan3354)
A wooden railing is 82m long. It is to be divided into 4 pieces. 3 pieces will be the... (answered by addingup)
A square board that has an area of 25 square inches is to be cut into pieces, each of... (answered by edjones)
write an algebraic equation which could be used to solve the following problem. then... (answered by texttutoring,mananth,vampirewitchreine)
a cook cuts a cake into 35 equal pieces and an identical cake into 42 pieces. The... (answered by khwang)