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# What is the radius of the inscribed circle to a triangle

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Intern
Joined: 07 Aug 2003
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What is the radius of the inscribed circle to a triangle [#permalink]  10 Aug 2003, 14:49
What is the radius of the inscribed circle to a triangle whose sides measure
21cm, 72cm and 75cm respectively?
(1) 9 cm
(2) 37.5 cm
(3) 28.5 cm
(4) 14.5 cm

Can anyone help in solving this problem?

Thanks
GMAT Instructor
Joined: 07 Jul 2003
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Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
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Re: Geometry [#permalink]  10 Aug 2003, 17:34
Rajven wrote:
What is the radius of the inscribed circle to a triangle whose sides measure
21cm, 72cm and 75cm respectively?
(1) 9 cm
(2) 37.5 cm
(3) 28.5 cm
(4) 14.5 cm

Can anyone help in solving this problem?

Thanks

Perhaps if you checked to see if such triangle followed pythagorean's law, you might find it a bit easier.
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Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Senior Manager
Joined: 19 May 2004
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Any answers for this one ?
Senior Manager
Joined: 05 Feb 2004
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A..........9!! Take the cue from Akamaibrah.......Its a right triangle!!
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Manager
Joined: 21 Jun 2004
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how AF = 75-r
Senior Manager
Joined: 21 Mar 2004
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nice diagram
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ash
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I'm crossing the bridge.........

CIO
Joined: 09 Mar 2003
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cbrf3 wrote:
A..........9!! Take the cue from Akamaibrah.......Its a right triangle!!

This is exactly right.

Lines of tangency that come together around a circle are equal.
Senior Manager
Joined: 21 Mar 2004
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K_s_r wrote:

how AF = 75-r

we have 2 sets of congruent triangles. that is how the sides are equal.

AF is 72-r
_________________

ash
________________________
I'm crossing the bridge.........

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