if the sides of a right triangle are x,x+1 and x-1 then find the value of hypotenuse in numbers. please provide explanation
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Answer:
The sides of a triangle given are x−1,x and x+1.
As it is a right angle triangle, we apply Pythagoras theorem
therefore,
(x−1) 2 +x 2
=(x+1) 2
⇒x 2 −2x+1+x 2
=x 2 +2x+1
⇒x 2 −4x=0
⇒x(x−4)=0
x=4 ,x=0
x=0 cannot be the side of a triangle.
One side is 4.
Other two sides
x−1=4−1=3
x+1=4+1=5
Sides of a triangle 3,4 and 5.
Anonymous:
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Answered by
2
Answer:
the answer is 3,4&5.
Step-by-step explanation:
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