CBSE Class 10 Maths (Standard) 2016 · Paper 30/1/1 · Question 7

Circles 2 marks Medium

In Fig. 2, a circle is inscribed in a

△ A B C

, such that it touches the sides

A B

B C

and

C A

at points

D

E

and

F

respectively. If the lengths of sides

A B

B C

and

C A

are

12

cm,

8

cm and

10

cm respectively, find the lengths of

A D

B E

and

C F

Fig. 2: Circle inscribed in triangle ABC touching the sides at D, E, F.

Answer

A D = 7

cm,

B E = 5

cm,

C F = 3

cm.

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