if one of a triangle is equal t the sum of the other two , show that the triangle is right angled
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Step-by-step explanation:
In which measure of angleB is equal to the measure of remaining angles that is angleA and angleC
So, in triangle ABC,
angleA + angleC= angleB …………(1)
Now, in triangle
angle A +angle B+ angle C =180°
= angle B + ( angleA + angleC) =180°
= angleB + angleB =180°…………..from(1)
=2 angleB = 180°
= angle B = 180°/2
=angleB= 90°
So, one angle of triangleABC is 90° or if one angle of triangle is 90° this triangle is known as right angled triangle.
So, it is right angled triangle
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