Question 64

The angles of a triangle are in the ratio of 3 : 4 : 8. The triangle is:

Solution

Given,

The angles of a triangle are in the ratio of 3 : 4 : 8

Let the angles of the triangle are 3p, 4p, 8p

$$=$$>  3p + 4p + 8p = $$180^{\circ\ }$$

$$=$$>  15p = $$180^{\circ\ }$$

$$=$$>  p = $$12^{\circ\ }$$

$$\therefore\ $$The angles of the triangle are $$36^{\circ\ }$$, $$48^{\circ\ }$$, $$96^{\circ\ }$$

$$=$$>  The triangle is an obtuse angled as one angle is greater than $$90^{\circ\ }$$

Hence, the correct answer is Option A


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