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Q.

The measures of the three angles of a triangle are in the ratio 1 : 2 : 3. Then the triangle is:

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a

Right angled triangle

b

Equilateral triangle

c

Isosceles triangle

d

Obtuse angled triangle

answer is A.

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Detailed Solution

Concept- Triangle with a right angle is one that is categorized by the measurement of its angles. A triangle is considered to have right angles if any one of its angles measures 90 ° or more.
We must be familiar with the angle sum property of triangles in order to answer this issue.It stipulates that a triangle's three angles must all have measurements that add up to 180°.In other words, if we total all the measurements of all three angles in any triangle, the result should always equal 180°.
Given, ratio of angles =1:2:3.
Make the angles x, 2x, and 3x.
Angles added equal 180

X + 2 x + 3 x = 180 °

6 x = 180 °

x = 30 °

Thus, the angles, 30°,60°and 90°
So, the angle is a right angled triangle. Hence, the correct answer is option 1) Right angled triangle.

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