SOLUTION: A wall is 50 in. wide and 35 in. high. Will a mirror with a 62 in. diagonal fit in it? Identify the correct explanation. Options: A. http://my.thinkwell.com/questionbank/950

Algebra ->  Angles -> SOLUTION: A wall is 50 in. wide and 35 in. high. Will a mirror with a 62 in. diagonal fit in it? Identify the correct explanation. Options: A. http://my.thinkwell.com/questionbank/950      Log On


   

Question 935013: A wall is 50 in. wide and 35 in. high. Will a mirror with a 62 in. diagonal fit in it? Identify the correct explanation.
Options:
A. http://my.thinkwell.com/questionbank/95001-96000/95686/img/242302.gif
B. http://my.thinkwell.com/questionbank/95001-96000/95686/img/242303.gif
C. http://my.thinkwell.com/questionbank/95001-96000/95686/img/242304.gif
D. http://my.thinkwell.com/questionbank/95001-96000/95686/img/242305.gif
Found 2 solutions by MathLover1, gsmani_iyer:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
first find the diagonal of the wall and if it is greater then diagonal of the mirror, mirror will fit in it
d%5E2=50%5E2%2B35%5E2
d%5E2=2500%2B1225
d=sqrt%283725%29
d=61.033
compared to a diagonal of the mirror which is 62in we see that mirror will NOT fit in it because 62%3E61.033

so, your answer is D

Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

As per Appolonias Theorem, square root of sum of squares of two sides of a right angeled triangle is equal to the length of Hypotenuse. Here in this case, length of the hypotenuse comes to 61.03 inches. So the mirror with 62 inches cannot fit.