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Varun has been selected by his School to...

Varun has been selected by his School to design logo for Sports Day T-shirts for students and staff . The logo design is as given in the figure and he is working on the

fonts and different colours according to the theme. In given figure, a circle with centre O is inscribed in a `Delta`ABC, such that it touches the sides AB, BC and CA at points D, E and F respectively. The lengths of sides AB, BC and CA are 12 cm, 8 cm and 10 cm respectively.

Find the length of AD.

A

7

B

8

C

5

D

9

Text Solution

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The correct Answer is:
A
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Varun has been selected by his School to design logo for Sports Day T-shirts for students and staff . The logo design is as given in the figure and he is working on the fonts and different colours according to the theme. In given figure, a circle with centre O is inscribed in a Delta ABC, such that it touches the sides AB, BC and CA at points D, E and F respectively. The lengths of sides AB, BC and CA are 12 cm, 8 cm and 10 cm respectively. Find the lenght of CF.

Varun has been selected by his School to design logo for Sports Day T-shirts for students and staff . The logo design is as given in the figure and he is working on the fonts and different colours according to the theme. In given figure, a circle with centre O is inscribed in a Delta ABC, such that it touches the sides AB, BC and CA at points D, E and F respectively. The lengths of sides AB, BC and CA are 12 cm, 8 cm and 10 cm respectively. Find the lenght of BE .

Knowledge Check

  • The in circle of Delta ABC touches the sides BC, CA and AB at D, E and F respectively. Then AF + BD + CE is equal to :

    A
    `(1)/(2)` (Perimeter of `Delta` ABC)
    B
    `(1)/(3)` (Perimeter of `Delta` ABC)
    C
    `(1)/(4)` (Perimeter of `Delta` ABC)
    D
    Perimeter of `Delta` ABC

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