Question

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

Answer 1

1x+2x+1x=180
4x=180x=180/4
x=45
1x=45*1=45
2x=45*2=90
1x=45*1=45
it is congruent by asa criterion
hence proved

Answer 2

ratio= 1:2:1
angle A=1x
angleB=2x
angleC=1x
sum of interior angle of triangle = 180
1x+2x+1x=180
4x=180
x= 45

angleA = 45
angleB= 2×45=90
angleC=45

it forms right angle triangle