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Question 13. (a) In the figure (i) given below, ED and BC are two parallel chords of the circle and ABE, ACD are two st. lines. Prove that AED is an isosceles triangle.

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This is an important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

It is given that ED and BC are two parallel chords of the circle and ABE, ACD are two st. lines.

We have to Prove that AED is an isosceles triangle.

ICSE Avichal publication
Understanding ICSE Mathematics
Question 13(a)

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1 Answer

  1. Solution:
    (a) Given: Chord BC || ED,
    ABE and ACD are straight lines.
    To Prove: ∆AED is an isosceles triangle.
    Proof: BCDE is a cyclic quadrilateral.
    Ext. ∠ABC = ∠D …(i)
    But BC || ED (given)
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.2 Q13.3

    Hence AED is isosceles triangle

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