Question

Find the inradius of the a tringle having side 13 14 15

Answer 1

Answer:

The sides of the triangle are given as

a = 13 cm 

b = 14 cm

c = 15 cm

Circumference of a circle = C = ?

Solution:

Since we know that,

C = 2 π r  .......... (1)

Where 'r' is the radius which is to be calculated.

We also know that,

Area = A = r . P/2  

⇒ r = 2 A / P    ........ (2)

Perimeter = P = 13 + 14 + 15 = 42 cm

P/2 = 42/2 = 21 cm

Area = A = √ [ p/2 (p/2-13) (p/2-14) (p/

2-15) ]

A = √ [ (21) (8) (7) (6)]

A = √ 7056

A = 84 cm²

Put these values in equation (2), we get:

r = (2) (84) / 42

r = 4 cm

Now put this value in equation (1), we

get:

C = (2) (3.14) (4)

C = 25.12 cm

✨Hope it will help you.✨