Triangle ABC is right-angled at B

MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

Triangle ABC is right-angled at B, with AB = 9 cm and BC = 12 cm. On the extension of AC beyond C, a point D is taken such that ∠BCD=90∘\angle BCD = 90^\circ and CD = 8 cm. (i) Find the length AC. (ii) Calculate the length BD. (iii) Determine the length AD. (iv) Find the perimeter of quadrilateral ABCD.

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