Question

(b) In the figure (ii) given below, ABC is a triangle with AB = 10 cm, BC = 8 cm and
AC = 6 cm (not drawn to scale). Three circles are drawn touching each other will
the vertices A, B and C as their centres. Find the radü of the three circles
(2011​

Answer 1

Answer:

can I ask one thing

where is the figure......

I thing it will help but you can do it like this method and I am soso sorry that i did not give this question answer that's why my sid gave me this i am giving this you my dear friend

Step-by-step explanation:

Solution:

Let radius of  the circles be AP = x ,  BQ = y and CR = z

AB = AP + BP = x + y = 7 cm

BC = BQ + CQ = y + z = 8 cm

AC = CR + AR = z + x = 9 cm

The perimeter of ∆ABC , AB + BC + CA = 7 + 8 + 9 = 24

AP + BP + BQ + CQ + CR + AR = 24

2x + 2y + 2z 24

x + y + z = 12

7 + z = 12⇒ z = 12 – 7 = 5 cm

x + 8 = 12 ⇒ x = 12 – 8 = 4 cm

y + 9 = 12 ⇒ y = 12 – 9 = 3 cm

Answer 2

Answer:

same like the above mentioned answer