a.
To explain why given two sides are not enough to find third side.
a.

Explanation of Solution
Given information :
Given sides are 10in. and 8 in.
Here we shall use the Pythagoras theorem.
According to Pythagoras theorem in any right angle
From the two given sides it is not mentioned that the given sides consists of hypotenuse or both are legs.
There would be two possible values in this scenario when we are unaware of the hypotenuse.
In one we can consider both as legs, and in second we can consider the larger as hypotenuse.
b.
To determine two possible values.
b.

Answer to Problem 38PPE
Two possibilities are 12.8 in. and 6 in.
Explanation of Solution
Given information :
Given sides are 10in. and 8 in.
Here we shall use the Pythagoras theorem.
According to Pythagoras theorem in any right angle triangle,
Let us assume that both are the legs of triangle.
We get,
Now let us take 10 in. as hypotenuse and
Hence two possibilities are 12.8 in. and 6 in.
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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