A geometry problem by Aareyan Manzoor
Geometry
Level
2
Given that the triangle above is a right-angle triangle, find
and round your answer to three decimal places.
The answer is 0.5.
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Since (2x)^2+((4x+22)^1/2))^2=25
=>4x^2+4x+22=25
=>4x^2+4x-3=0
Since it is a quadratic equation
therefore its factors are (2x-1) & (2x+3)
Since 2x+3 is not possible because the sides of a triangle will not be a negative integer
therefore the value of x is 2x-1=0
=>2x=1
=>x=1/2
=>x=0.5