Question

If the angles of a triangle are in the ratio 1 :2: 1 ,find all the angles of triangle classify the triangle in two different ways.

Answer 1

let the ratio be 1x 2x and 1x
a/q
x+2x+x=180
4x=180
x=45

therefore first and third angle=45=x
second angle =90
the triangle is right angled triangle
and is acute triangle

Answer 2

let the angles of triangle be 1x, 2x, 3x.
then it will be...
1x+2x+3x=180
6x=180
x=180/6
x=30
now putting the value of in the above angles..
1x = 1×30=30
2x=2×30=60
3x=3×30=90.....this is your answer...
HOPE IT WILL HELP YOU!