: If the angles of a triangle are in the ratio 4: 5:9, find the measures of the angles of the
triangle and name the type of triangle.
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Answer:
Here is the answer...
Step-by-step explanation:
Let the angles be 4x,5x,9x.
now ,
4x+5x+9x=180(Angle Sum Property of a triangle)
18x=180
x= 10
so ,4x = 4×10=40 degree
5x = 5× 10= 50 degree
9x = 9× 10=90 degree
According to the sides,
This is a scalene triangle.
But according to angles,
This is a right angled triangle.
So ,
This is a scalene right angled triangle.
Hope this helps.
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