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

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Math Expert
Joined: 02 Sep 2009
Posts: 61302
XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the  [#permalink]

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25 Nov 2019, 00:26
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Difficulty:

45% (medium)

Question Stats:

41% (01:53) correct 59% (02:39) wrong based on 17 sessions

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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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Joined: 18 Aug 2017
Posts: 5931
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the  [#permalink]

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25 Nov 2019, 02:38
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

Are You Up For the Challenge: 700 Level Questions
VP
Joined: 19 Oct 2018
Posts: 1301
Location: India
Re: XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the  [#permalink]

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25 Nov 2019, 02:47
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
Re: XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the   [#permalink] 25 Nov 2019, 02:47
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