Answers

  • Brainly User
2015-12-05T14:27:55+08:00
To find the radius of inscribed circle in isosceles triangle:

1)  Find the leg of the triangle, using the Pythagorean Theorem:
     c² = a² + b²   , where c is the missing leg
     c² = 15² + (16/2)²
     c² = 225 + 64
     c² = 289
     
      \sqrt{c ^{2} } = \sqrt{289}
     c = 17

2) Find the radius: 

leg = 17;  base = 16

radius =  \frac{base}{2}  \sqrt{}  \frac{2(leg)-base}{2(leg)+base}

radius =  \frac{16}{2}  \sqrt{ \frac{2(17)-16}{2(17)+16} }

radius = 8  \sqrt{ \frac{34-16}{34+16} }

radius = 8  \sqrt{ \frac{18}{50} } = 8 \sqrt{ \frac{9}{25} }

radius = 8 (³/₅)

radius = 24/5

radius = 4.8 inches

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