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A square is inscribed in an isosceles right triangle so that the square and the triangle have 1 angle in common. Show that the vertex of the square opposite to the vertex of common angle bisects the hypotenuse of right triangle?
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A square is inscribed in an isosceles right triangle so that the squar...
Let the square be CMPN
all sides are equal so
CM=MP=PN=CN

ΔABC is isosceles so AC=BC
AN+NC= CM+MB
as CN= CM so.
AN=MB

now consider ΔANP and ΔPMB
AN=MB
∠ANP= ∠PMB= 90
PN=PM
so both triangles are congruent
and AP=PB
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A square is inscribed in an isosceles right triangle so that the square and the triangle have 1 angle in common. Show that the vertex of the square opposite to the vertex of common angle bisects the hypotenuse of right triangle?
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A square is inscribed in an isosceles right triangle so that the square and the triangle have 1 angle in common. Show that the vertex of the square opposite to the vertex of common angle bisects the hypotenuse of right triangle? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A square is inscribed in an isosceles right triangle so that the square and the triangle have 1 angle in common. Show that the vertex of the square opposite to the vertex of common angle bisects the hypotenuse of right triangle? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square is inscribed in an isosceles right triangle so that the square and the triangle have 1 angle in common. Show that the vertex of the square opposite to the vertex of common angle bisects the hypotenuse of right triangle?.
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