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  • Write the correct answer in each of the following: 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

Write the correct answer in each of the following:
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

Answers (1)

Answer: [D] a right triangle

Solution.

In a \triangle ABC

\angle A = \angle B +\angle C .....(i)                 

  \text{Now sum of all angles =}180^{\circ}

\angle A +\angle B + \angle C = 180^{\circ}
\angle A+\angle A=180^{\circ}   \text{(from i)}
\angle A=90^{\circ}

Thus triangle ABC is a right-angled triangle.

Hence Option (D) is the correct answer.

Posted by

infoexpert26

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