the acute angles of a right triangle are in the ratio 2:3find the angles of the triangle
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Answered by
3
It's a right angle triangle , so we know that one angle will be of 90° and sum of remaining two will be of 90°
So we can write from the above ratio, 2x+3x = 90
we get the value of x = 18
now we can find the angles, 2x = 36° and 3x= 54°
so remaining acute angles are 36° and 54°
So we can write from the above ratio, 2x+3x = 90
we get the value of x = 18
now we can find the angles, 2x = 36° and 3x= 54°
so remaining acute angles are 36° and 54°
jangirrajat98:
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Answered by
0
let the angles be -
x and y.
according to question ...
x : y = 2 : 3
3x = 2y
x = 2y/3.
now,
since the triangle is right angled.
therefore,
x + y + 90 = 180 (angel sum property)
2y/3 + y = 90
5y/3 = 90
5y = 270
y = 54
hence
x = 36
x and y.
according to question ...
x : y = 2 : 3
3x = 2y
x = 2y/3.
now,
since the triangle is right angled.
therefore,
x + y + 90 = 180 (angel sum property)
2y/3 + y = 90
5y/3 = 90
5y = 270
y = 54
hence
x = 36
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