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If the angles of a triangle …

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If the angles of a triangle are in the ratio 1:2:3 , find the three angles

Posted by M Reshma 1 year, 6 months ago

CBSE > Class 09 > Mathematics

2 answers

Shubham Kumar Gupta 1 year, 6 months ago

If the angles of a triangle are in the ratio of 1:2:3 , find the value of all the angles of the triangle. Let the angles of the triangle be 1x°, 2x° and 3x°. We know that sum of all angles of a triangle is 180°. So, 1x° + 2x° + 3x° = 180°. 6x° = 180°. x° = 180°/6 = 30°. Hence, Angles of the triangle (i) 1x° = 1 × 30° = 30° (ii) 2x° = 2 × 30° = 60° (iii) 3x° = 3 × 30° = 90°.

Ayushi Shekhawat 1 year, 6 months ago

Sum of all angles of a triangle=180 degree Angles= 1x+2x+3x =180 =6x =180 =x=180/6 =x = 30 All three angles = 30×1 =30 = 30×2 =60 = 30×3=90

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