The measures of three angles of a triangle are in the ratio 1 : 2 : 3. Then, the triangle is
(a) right-angled
(b) equilateral
(c) isosceles
(d) obtuse-angled

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Solution

(a) right-angled

Let the angles be x $°$ , 2x $°$ and 3x $°$ .
In a triangle, the sum of its angles is equal to 180 $°$ .
Therefore,
x + 2x + 3x = 180
or 6x = 180
or x = 30

Hence, the angles are 30 $°$ , 60 $°$ and 90 $°$ .

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