Concept explainers
Prove that a right triangle whose sides are in arithmetic progression is similar to a
Explanation of Solution
Given:
It is given in the question that the sides be
Concept Used:
In this, use the concept taking the sides of the triangle be
Proof: Let the side of right angle triangle be :
Here all the side of the right angle triangle are in arithmetic progression with the common difference equal to ‘ d’ .
Since, the given triangle is right angle so, it will follow Pythagoras theorem ,
Now, sides of right angle triangle will be :
So, the sides of triangle are in Arithmetic Progression -
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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