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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鈭�as鈭�bs鈭�csr2=16鈭�1216鈭�1216鈭�816r2=4脳4脳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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Most popular questions from this chapter

Given: PT炉is tangent to 鈯�Oat T;TS炉鈯�PO炉

Complete the following statements.

a. TS is the geometric mean between ? and ?

b. TO is the geometric mean between ? and ?

c. If OS=6 and SP=24,TS=? and TP=?

For each exercise draw a circle and inscribe the polygon in the circle.

c. An obtuse triangle.

In exercises 2-7 find the measure of the arc.

CDA铃�

In exercises 2-7find the measure of the arc.

BAD铃�

Find the measure of central 鈭�1.
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