If the angles of a triangle are in the ratio 4:5:9,find the measures of the triangle and name the type.
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let the angles be 4x,5x and 9x
4x+5x+9x=180
∘
18x=180
∘
⇒x=10
∘
So the angles are
4×10
∘
=40
∘
5×10
∘
=50
∘
9×10
∘
=90
One of the angle is 90
∘
, so the triangle is right angled triangle.
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