Question

Match List-I with List-II. List-I: A. Equilateral Triangle, B. Isosceles Triangle, C. Acute Angle Triangle, D. Obtuse Angle Triangle. List-II: I. A triangle with angle \(A=70^\circ\), angle \(B=60^\circ\) and angle \(C=50^\circ\). II. One angle of the triangle is \(130^\circ\). III. A triangle with each side being \(5\) cm. IV. A triangle with sides \(4\) cm, \(6\) cm and \(6\) cm.

• A. A-II, B-III, C-IV, D-I
• B. A-I, B-II, C-III, D-IV
• C. A-IV, B-I, C-II, D-III
• D. A-III, B-IV, C-I, D-II

Hint:

Equilateral means all sides equal, isosceles means two sides equal, acute means all angles less than \(90^\circ\), and obtuse means one angle greater than \(90^\circ\).

Answer 1

The Correct Option is D

An equilateral triangle has all sides equal. A triangle with each side \(5\) cm has all three sides equal. So: \[ A-III. \] An isosceles triangle has two sides equal. A triangle with sides \(4\) cm, \(6\) cm and \(6\) cm has two equal sides. So: \[ B-IV. \] An acute angle triangle has all angles less than \(90^\circ\). The triangle with angles: \[ 70^\circ,\ 60^\circ,\ 50^\circ \] has all angles less than \(90^\circ\). So: \[ C-I. \] An obtuse angle triangle has one angle greater than \(90^\circ\). A triangle with one angle \(130^\circ\) is an obtuse angle triangle. So: \[ D-II. \] Therefore, the correct matching is: \[ A-III,\quad B-IV,\quad C-I,\quad D-II. \] Hence, the correct answer is option (D).