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Question
A circle is inscribed in a triangle with sides 3, 4 and 5 cm. The radius of the circle is
___ cm.
 
A Circle Is Inscribed In A Triangle With Sides 3, 4 And 5 Cm...
 
 
 
 
 
 
 
Answer:
:
Join the centre of the circle and the vertices of the triangle. Observe that the sides of the triangle become the tangents to the circle. Hence, the radii of the circle as shown in the question become the heights of the smaller triangles.
A Circle Is Inscribed In A Triangle With Sides 3, 4 And 5 Cm...
According to formula
12 (r) (sum of sides) = area of triangle
12 (r) ( 3+ 4 + 5) = 12 × 3 × 4
r = 1 cm

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