Math, asked by poojashree0623, 10 months ago

In traingle ABC r1 = 36, r2=18,r3= 12
then R=​

Answers

Answered by samarthpuri
5

Step-by-step explanation:

R= r1+r2+r3

=>36+18+12

=>76

Answered by SmritiSami
0

Given,

r₁ = 36

r₂ = 18

r₃ = 12

To find,

The value of R

Solution,

The value of R is 15.

We can simply solve the mathematical problem by the following process.

We know that,

r₁ = 36

r₂ = 18

r₃ = 12

Now,

\frac{1}{r}= \frac{1}{r1}  + \frac{1}{r2} +\frac{1}{r3}

      = \frac{1}{36}+\frac{1}{18}+\frac{1}{12}

      = \frac{2+4+6}{72}   (∴ L.C.M of 36, 18, and 12 = 72)

      = \frac{12}{72}

Thus,

⇒ r = \frac{72}{12}

      = 6

Now, to find the value of R;

We know that,

R = \frac{r1+r2+r3-r}{4}

   = \frac{36+18+12-6}{4}

   = \frac{66-6}{4}

   = \frac{60}{4}

   = 15

As a result, the value of R is 15.

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