In a . If 3y - 5x = 30, prove that the triangle is right angled.
Sum of angles of a triangle = 180°
Given,
∴ x + 3x + y = 180
⇒ y + 4x = 180 ------- (1)
Also, 3y – 5x = 30 ------- (2)
Multiplying eq1 by 5 and eq2 by 4 and adding them
⇒ 5y + 12y = 900 + 120
⇒ y = 60
Thus, 60 + 4x = 180
⇒ x = 30
∠A = 30° , ∠B = 90° and ∠C = 60°
Triangle is right angled at B.