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Question

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:

 



A

an isosceles triangle

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B

an obtuse triangle

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C

an equilteral triangle

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D

a right triangle

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Solution

The correct option is B

a right triangle


Let A,B,C be the angles of a ΔABC and let A=B+C

But A+B+C=180   (Sum of angles of a triangle)

A+A=1802A=180

A=1802=90

Δ is a right angled triangle.


Mathematics
RD Sharma
Standard IX

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