Question

two angle of triangle are in the ratio 1 ratio 2 if the sum of the this angle is equal to the third angle find the angle of triangle what type is it? also classify the triangle is accute obtuse right scalene isosceles or equilateral
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Answer 1

Let the two sides of triangle be x and 2x

Let the third side of the triangle be y

According to the question

2x+x=y

3x=y.......(1)

Sum of all angles of triangle=180

2x+x+y=180

Putting the value of y from equation (1)

3x+3x=180

6x=180

x=30

Two angles = 60,30

Third angle= 90

It is the Right angle

In a triangle if one angle is 90° then it is the Right angled Triangle

So, The Triangle is a Right angled Triangle

Answer 2

Ratio of the two angles of a triangle=a:b=1:2

As sum of the angles is equal to the third angle ,

we get the following equations

A+B=C

A+B+C=180'

Or,C+C=18O'

Or,2C=180'

OR C=90'

A=1/3*90'

=30'

B=2/3*90'

=60'

So,the angles are 30',60' and 90'

So ,it is a scalene right-angled triangle.