Math, asked by mohammedameensawood2, 1 year ago

prove that if one of the angle of a triangle is equal to the sum of other two angles of a triangle then the triangle is a right angled triangle

Answers

Answered by RISHIKESHacharya

as per the question given that one angle of an angle of the triangle is equal to the sum of other two angles of a triangle then the triangle is right angled triangle

so let one angle be x = 1 by 2 and why also equal one by two are there opposite angles

then X + Y equal 180

then after that 180 by 2 equal 90 degree

x = 90 degree then why is also = 90 degree as their opposite angles

mohammedameensawood2: can i use this ( 1 angle of triangle ) = 1a and (2a + 3a ) the sum of triangle is 180 degree then 1a+2a+3a =6a then a=180/6 = 3 then subtituting the value =1(30)AND 2(30)AND 3(30) then it will be 30 + 60 + 90 = 180 as the triangle has one of its angle 90 degree it is considered to be a right angled triangl

mohammedameensawood2: and thnks for help

Answered by incognito924

in triangle ABC ∠a = ∠b +∠c

∠a +(∠b +c) = 180°

∠a +∠a= 180° (∠b+∠c =∠a)

2∠a = 180°

∠a =180/2

∠a = 90°

since one of the angles is a right angle, its is a right angled triangle

mohammedameensawood2: thank u very much

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