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The angles of a triangle are in the ratio 4:3:13, the triangle is

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Isosceles triangle

Obtuse triangle

Equilateral triangle

Right angled triangle

answer is B.

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Detailed Solution

Given, a triangle with its sides in ratio 4:3:13.
Assume the angles of the triangle be 4x, 3x and 13x.

4 x + 3 x + 13 x = 180 °

(Angle sum property of a triangle)

20 x = 1800 x = 180020 ∴ x = 90

Therefore, the angles of the triangle are,

4 x = 4 × 90 = 360

3 x = 3 × 90 = 270

13 x = 13 × 90 = 1170

As one of the angles in the triangle is greater than

90 °

, it is an obtuse angled triangle.
(1) is incorrect option, as two angles are not equal.
(3) is incorrect option, as all three angles are not equal.
(4) is incorrect option, as one angles are not equal to

900

.
The triangle is an obtuse triangle.
Therefore, option (2) is correct.

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