Answer the following in 'Yes' or 'No'.

(i) Can an isosceles triangle be a right triangle?
(ii) Can a right triangle be a scalene triangle?
(iii) Can a right triangle be an equilateral triangle?
(iv) Can an obtuse triangle be an isosceles triangle?

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Solution

(i) Yes, it will be an isosceles right triangle.

(ii) Yes, a right triangle can have all sides of different measures. For example, 3, 4 and 5 are the sides of a scalene right triangle.

(iii) No, it cannot be an equilateral triangle since the hypotenuse square will be the sum of the square of the other two sides.

(iii) Yes, if an obtuse triangle has an obtuse angle of 120° and the other two angles of 30° each, then it will be an isosceles triangle.

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Answer the following in 'Yes' or 'No'. (i) Can an isosceles triangle be a right triangle? (ii) Can a right triangle be a scalene triangle? (iii) Can a right triangle be an equilateral triangle? (iv) Can an obtuse triangle be an isosceles triangle?

Answer the following in 'Yes' or 'No'.

(i) Can an isosceles triangle be a right triangle?
(ii) Can a right triangle be a scalene triangle?
(iii) Can a right triangle be an equilateral triangle?
(iv) Can an obtuse triangle be an isosceles triangle?