If the acute angles of a right-angled triangle are in the ratio 5:13, find the acute angles.Please send full method.
Answers
Answered by
7
by angle sum property, the sum of all angles of a triangle is 180°
let the 1st accute angle be 5x
and the second be 13x
it is given that the third angle is 90°
then, 5x+13x=180°-90°=90°
18x=90°
then, x=90/18=5°
then, the measure of the 1st accute angle=5*5=25°
and the second angle Will be 13*5=65°
these are the accute angles of the triangle
let the 1st accute angle be 5x
and the second be 13x
it is given that the third angle is 90°
then, 5x+13x=180°-90°=90°
18x=90°
then, x=90/18=5°
then, the measure of the 1st accute angle=5*5=25°
and the second angle Will be 13*5=65°
these are the accute angles of the triangle
Similar questions