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# 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.

3. The three angles of a triangle are in the ratio  $\small 1:2:1$.  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 $x,2x\:\:and\:\:x$

So,

As we know the sum of internal angles of a triangle is 180. so,

$x+2x+x=180^0$

$4x=180^0$

$x=45^0$

$2x=90^0$

Hence the angles of the triangles are $45^0,90^0\:\:and\:\:45^0$.

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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