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Sagot :
The answers: 3•sqrt34 and 12
Depending on the theorem of Pythagoras
Answer N1: sqrt(9^2 + 15^2)
Answer N2: sqrt(15^2 - 9^2)
Depending on the theorem of Pythagoras
Answer N1: sqrt(9^2 + 15^2)
Answer N2: sqrt(15^2 - 9^2)
The two possible answers for the third side of the right triangle are 6 and 24.
What is the triangle inequality theorem?
The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.
Sarah said, "There is only one possible third side for a right triangle with two sides measuring 9 units and 15 units.'
The two possible answers for the third side of the right triangle are;
[tex]\rm 15-9 < x < 15+9\\\\6 < x < 24[/tex]
The possible length of the third side of a triangle.
For checking the possible length:
15 + 9 > 7 (a+b>c)
9 + 7 > 15 (b+c>a)
7+ 15 >9(a+c>b)
Which satisfy the triangle inequality theorem.
Hence, the two possible answers for the third side of the right triangle are 6 and 24.
Learn more about triangles here;
https://brainly.com/question/12930526
#SPJ2
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