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    ABC is a right - angled triangle with ∠ABC = 90°. The centre of the incircle of the given triangle is at O, whose radius is 2 cm. Two more circles wit
    Question

    ABC is a right - angled triangle with ∠ABC = 90°. The centre of the incircle of the given triangle is at O, whose radius is 2 cm. Two more circles with centres at O1 and O2, touch this circle and the two sides as shown in the figure given below.
    Further, MA ∶ MC = 2 ∶ 3.

    What is AB + BC equal to?

    A.

    10cm

    B.

    12cm

    C.

    13cm

    D.

    14cm

    Correct option is D



    By Pythagoras theorem

    Now x = 2
    AB+BC = 2x+2+3x+2 = 5x+4 = 5x2+4 = 14

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