if the two sides of the right angled triangle are (X + 3) and (X + 1) and its hypotenuse is 100 find the value of x
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Answer:
Sides are 3,4and 5
Step-by-step explanation:
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.
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