Question

in triangle ABC /A=x,/B=3x/C=y.if 3y-5x=30°.show that triangle is right angled triangle​

Answer 1

Step-by-step explanation:

3y-5x=30°

y=(30°+5x)/3

By using angle sum property

A+B+C=180°

x+3x+y=180°

4x+(30°+5x)/3=180°

(12x+30°+5x)/3=180°

17x=540°-30°

17x=510°

x=30°

B=3×30°=90°

It is a right angle triangle.

Answer 2

Step-by-step explanation:

x+3x+y=180

=> 4x+y=180

12x+3y=540

3y-5x =30

- + -

________

17x=510

x=30. 3x=30*3=90

B=90°

so,the triangle is right angled triangle