in a right angle triangle two acute angles are in the ratio of 2: 3.what are their measures?
ayush8858:
maybe 30
Answers
Answered by
4
As the ratio of the acute angles in the right angle triangle is 2 : 3
Let the angles be 2x and 3x
We know sum of angles of a triangle =180 °
So we get
90° + 2x + 3x =180°
=> 5x=180°-90°=90°
=> x=90°/5=18°
So the angles are 36° and 54°.
Hope this helps : )
Answered by
2
let the required angle be X
then acute angle 2x and 3x
a/q= 90+2x+3x= 180° {sum of three side of triangle is 180°}
=90+5x=180
5x=180-90
5x=90
X=90÷5
X=18
hence,2×18=36°and3×18=54°
then acute angle 2x and 3x
a/q= 90+2x+3x= 180° {sum of three side of triangle is 180°}
=90+5x=180
5x=180-90
5x=90
X=90÷5
X=18
hence,2×18=36°and3×18=54°
Similar questions
History,
7 months ago
Social Sciences,
7 months ago
Business Studies,
7 months ago
Math,
1 year ago
Chemistry,
1 year ago
Political Science,
1 year ago
Hindi,
1 year ago