Question

the acute angles of a right triangle are in the ratio 1 : 2. find the angle of the triangle​

Answer 1

Answer:

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Answer 2

The first angle is a right angle

So the other two angles are in the ratio of 1:2

Now,taking the second angle as x and the third angle as y,we get,

⇒x+y=180-90

⇒x+y=90 - 1st equation

⇒x/y =1/2 - 2nd equation

Solving them,

⇒x/y=1/2

⇒2x=y

⇒x=y/2 - 3rd equation

Now substituting the value of x in equation 1,we get,

⇒y/2 +y=90

⇒y+2y whole divided by 2=90

⇒y+2y=180

⇒3y=180

⇒y=60 - 4th equation

Substituting this value of y in equation 3,we have

x=30

Thus,the acute angle are x,y,equal to 60,30 respectively

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