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AD ⊥ BC, AB = 13 cm, BD = 12 cm, DC = 5 cm angle y = ______. - Mathematics

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Question

AD ⊥ BC, AB = 13 cm, BD = 12 cm, DC = 5 cm

angle y = ______.

Options

  • 60°

  • 30°

  • 45°

  • none of these

MCQ
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Solution

angle y = 45°.

Explanation:

In ΔADC, since AD = DC = 5 cm, it is an isosceles right-angled triangle.

The two equal angles, ∠DAC and ∠DCA, are each 45°.

so angle y = ∠DAC = 45°

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Chapter 20: Simple 2-D Problems in Right Triangle - MULTIPLE CHOICE QUESTIONS [Page 245]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 20 Simple 2-D Problems in Right Triangle
MULTIPLE CHOICE QUESTIONS | Q 4. (ii) | Page 245
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