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Chapter 9: Q23. (page 337)

Find the radius of the circle inscribed in the triangle.

Short Answer

Expert verified

The radius of the circle is, 22.

Step by step solution

01

Step 1. Given information.

The given figure is,

02

Step 2. Concept used.

In any triangle,

s=a+b+c2where a and b are c the sides of the triangle.

Here,

a=12b=12c=8

03

Step 3. Put the values to find s.

s=12+12+82s=322s=16

Let the radius of circle ber.

04

Step 4. Formula used.

The radius of the circle inscribed in the triangle is given by the formula,

r2=s−as−bs−csr2=16−1216−1216−816r2=4×4×816r=8r=22

05

Step 5. Neglect negative sign. 

Since, length is positive,

So, neglecting the negative value.

Therefore, the radius of the circle is, 22.

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