Question

13)The angles of a triangle are in the ratio of 1: 2: 3. Show that it is a right triangle.

Answer 1

right angle triangle

Explanation

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• Angles are in the ratio =1:2:3

• Let the angles be x,2x,3x

• Sum of angles =180

• x+2x+3x=180

• 6x=180

$x=30 </p><p>∘ \\ </p><p> </p><p>Hence, \: the \: angles \: are \: 30 </p><p>∘</p><p> ,60 </p><p>∘</p><p> ,90 </p><p>∘$

• The triangle is a right angled triangle.