Question

The angles of triangle are in ap.if the smallest angle is 30 degree. Show that the triangle is right angle triangle

Answer 1

let there is a difference of D in angles who are on ap.
first angle 30, second angle will be 30+D, third angle will be 30+2D

now adding these three angles will give 180 which is addition of all three angles of triangle.

hence 30+30+D+30+2D =180
90+3D= 180
3D= 180-90
3D=90
D= 90/3
D= 30


hence second angle will be 30+30=60
third Angle =30+2×30=90

since 90 is a right angle so it is right angle triangle.

Answer 2

Step-by-step explanation:

It is the answer for this question.