Concept explainers
a.
To determine whether the given set of lengths of sides, are of right angle
a.
Answer to Problem 3P
The given sides are ot of a right angle triangle.
Explanation of Solution
Given information :
20 mm, 47 mm, 52 mm
Here we shall use the Pythagoras theorem.
According to Pythagoras theorem in any right angle triangle,
Here we shall check if the given set of sides proves the given condition of Pythagoras theorem as mentioned above.
Hence we check,
Hence the given numbers do not satisfies Pythagorean property therefore these are not sides of a right angle triangle.
b.
To determine if
b.
Answer to Problem 3P
Sides
Explanation of Solution
Here we shall use the Pythagoras theorem.
According to Pythagoras theorem in any right angle triangle,
Let us take the sides of triangle be
Hence we get the equation,
Now let us take the sides be
Now we get the equation,
Hence the condition satisfies with sides
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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