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To check whether the given set of measures is the length of sides of a right
![Check Mark](/static/check-mark.png)
Answer to Problem 46SGR
Not a right triangle.
Explanation of Solution
Given:
Sides:
Concept used:
Pythagoras Theorem: In right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two sides.
For a right triangle with perpendicular
The hypotenuse is always the longest side in a right triangle because it is opposite to the largest angle, the ninety degree angle.
Calculation:
For a right triangle,
Since hypotenuse is the longest side in a right triangle, therefore
Check whether the given set of points satisfy the above equation.
Conclusion:
Therefore, the given set of measures cannot be the length of sides of a right triangle.
Chapter 10 Solutions
Algebra 1
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