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Find the inradius of \(\triangle JKL\) if \(JK=JL=17\) and \(KL = 16\).

 Mar 15, 2019
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The area of a triangle can be expressed as A = rs, where r is the radius of the incircle and s is the semiperimeter. The area of the triangle is 136, which you can find either by using Heron's formula or just dropping the altitude. We can find the semiperimeter pretty easily, \(\frac {17+17+16}{2} = \frac {50}{2} = 25\) . So we have \(136=25r\) so \(\frac {136}{25} =r\) .

 

Hope this helps!

 Mar 15, 2019

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