XYZ is a right angled triangle with YZ = 6cm and XY = 8cm. XZ is the : Problem Solving (PS)

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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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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:

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

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:

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

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