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# help

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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