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Abc is a Right Angled Triangle with ∠Abc = 90°. D is Any Point on Ab and De is Perpendicular to Ac. Prove that : - Mathematics

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प्रश्न

ABC is a right angled triangle with ∠ABC = 90°. D is any point on AB and DE is perpendicular to AC. Prove that :

ΔADE ~ ΔACB.

योग

उत्तर

In ΔADE and ΔACB.

∠AED = ∠ABC ...(both are right angles)
∠DAE = ∠CAB ....(common angles)

ΔADE ∼ ΔACB ...(AA criterion for similarity)

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Areas of Similar Triangles Are Proportional to the Squares on Corresponding Sides
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 15: Similarity (With Applications to Maps and Models) - Exercise 15 (E) [पृष्ठ २३२]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 15 Similarity (With Applications to Maps and Models)
Exercise 15 (E) | Q 28.1 | पृष्ठ २३२
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