SOLUTION: 1.write true or false. multiplying each number of a Pythagorean triple be a nonzero whole number yields another Pythagorean triple? 2. The longest side of a triangle is 13 cent

Algebra ->  Triangles -> SOLUTION: 1.write true or false. multiplying each number of a Pythagorean triple be a nonzero whole number yields another Pythagorean triple? 2. The longest side of a triangle is 13 cent      Log On


   

Question 150661: 1.write true or false. multiplying each number of a Pythagorean triple be a nonzero whole number yields another Pythagorean triple?
2. The longest side of a triangle is 13 centimeters. another side is 11 centimeters. if the triangle is obtuse. right an inequality for the range of values of the third side?
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
1.write true or false. multiplying each number of a Pythagorean triple be a nonzero whole number yields another Pythagorean triple?

true.
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2. The longest side of a triangle is 13 centimeters. another side is 11 centimeters. if the triangle is obtuse. right an inequality for the range of values of the third side?

for a right triangle:
a%5E2%2Bb%5E2=c%5E2
11%5E2%2Bb%5E2=13%5E2
121%2Bb%5E2=169
b%5E2=48
b=4sqrt%283%29

for an obtuse triangle:
a%5E2%2Bb%5E2%3Cc%5E2
11%5E2%2Bb%5E2%3C13%5E2
121%2Bb%5E2%3C169
b%5E2%3C48
b%3C4sqrt%283%29

If it is obtuse, b definitely has to be less than 4sqrt3.

c%3Ca%2Bb
13%3C11%2Bb
2%3Cb
b also must be more than 2, so that a+b>c and b+c>a. So,

Answer:
2%3Cb%3C4sqrt%283%29