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XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the

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XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the  [#permalink]

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New post 25 Nov 2019, 01:26
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XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the hypotenuse. A circle with center O and radius x has been inscribed in the triangle. What is the value of x?

A. 1.8
B. 2
C. 2.4
D. 3
E. 4


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Re: XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the  [#permalink]

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New post 25 Nov 2019, 03:38
Radius of Incircle of Right angled triangle is given r=(a+b−c)/2
a=6,b=8 and c=10
we get ; 4/2 ; 2
IMO B
Bunuel wrote:
XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the hypotenuse. A circle with center O and radius x has been inscribed in the triangle. What is the value of x?

A. 1.8
B. 2
C. 2.4
D. 3
E. 4


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Re: XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the  [#permalink]

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New post 25 Nov 2019, 03:47
1
incenter of a circle= Area/semi-perimeter

Area= \(\frac{1}{2}*6*8\)=24
Semi-perimeter= \(\frac{6+8+10}{2}\)=12

Incenter= 24/12=2





Bunuel wrote:
XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the hypotenuse. A circle with center O and radius x has been inscribed in the triangle. What is the value of x?

A. 1.8
B. 2
C. 2.4
D. 3
E. 4


Are You Up For the Challenge: 700 Level Questions
GMAT Club Bot
Re: XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the   [#permalink] 25 Nov 2019, 03:47
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