SOLUTION: The lengths of two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in centimeters. See Example 1. (Objective 1) a = 7 cm and

Algebra ->  Pythagorean-theorem -> SOLUTION: The lengths of two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in centimeters. See Example 1. (Objective 1) a = 7 cm and      Log On


   



Question 1167710: The lengths of two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in centimeters. See Example 1. (Objective 1)
a = 7 cm and b = 24 cm
A right triangle has three labeled sides and three labeled vertices.
The shorter leg is labeled a.
The longer leg is labeled b.
The hypotenuse is labeled c.
The vertex opposite the shorter leg is labeled A.
The vertex opposite the longer leg is labeled B.
The vertex opposite the hypotenuse is labeled C.
c =
cm

Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
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..., two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in ce, ...
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a = 7 cm and b = 24 cm
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First, try to check with
system%287%2B24%3Ec%2C7%2Bc%3E24%2C24%2Bc%3E7%29
and when you are done with this, you know the limits of what values possible for c.

Did you find any indication of which side can be or must be the longest (and therefore, be hypotenuse)?