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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
(b) an obtuse triangle
(c) an equilateral triangle
(d) a right triangle



Answer -

Let тИаA, тИаB, тИаC be the angles of a тИЖABC and let тИаA = тИаB + тИаC
┬а
But тИаA + тИаB + тИаC = 180┬░
( Sum of angles of a triangle)
тИ┤ тИаA + тИаA = 180┬░ тЗТ 2тИаA = 180┬░
тЗТ тИаA =┬а┬а= 90┬░
тИ┤ тИЖ is a right triangle (d)

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