The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle. Classify the triangle in two different ways.
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Let the angles of the triangles be x,2x,x
So,
As we know the sum of internal angles of a triangle is 180. so,
x+2x+x=180
4x=180
x=45
2x=90^0
Hence the angles of the triangles are 45°,90° and 45°
On the Basis of sides, the triangle is isosceles triangle as two sides of the triangle are equal.
On the Basis of angle, the triangle is Right-Angled Triangle as it has one angle equal to 90 degrees.
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