SOLUTION: 1.A rectangle is 80 centimeters long. The length of the diagonal of the rectangle is 100 centimieters. How wide is the rectangle? 2.Bernice rides a bike from her house in a st

Algebra ->  Pythagorean-theorem -> SOLUTION: 1.A rectangle is 80 centimeters long. The length of the diagonal of the rectangle is 100 centimieters. How wide is the rectangle? 2.Bernice rides a bike from her house in a st      Log On


   

Question 351175: 1.A rectangle is 80 centimeters long. The length of the diagonal of the rectangle is 100 centimieters. How wide is the rectangle?

2.Bernice rides a bike from her house in a straight line for 15 kilometers. She makes a 90 degree turn and rides for another 36 kilometers. If she rides home in a straight line, how far will she have traveled in all.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
*In questions regarding right triangles, the Pythagorean Theorem can be useful to help us solve the problem:
.
Pythagorean Theorem
a%5E2+%2B+b%5E2+=+c%5E2 where a and b are the two sides that meet at the right angle and c (hypotenuse) is the side opposite the right angle.
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first question
80%5E2+%2B+w%5E2+=+100%5E2
+w%5E2+=+100%5E2+-+80%5E2+=+10000+-+6400+=+3600
s=+sqrt%283600%29
w = 60cm
.
second question
15%5E2+%2B+36%5E2+=+c%5E2
c%5E2+=+225+%2B+1296+=+1521
c+=+sqrt%281521%29
c= 39km (riding home in a straight line)