Question

In a triangle ABC, angel a = x degree, angel b = 3x degree and angel c = y degree if 3y - 5x = 30, prove that the triangle is right angled show this by elimination method

Answer 1

hence it become right angle triangle

Answer 2

Heya!!Here is your answer friend ⤵⤵

Given angles of triangle are x , 3x and y respectively.

Using angle sum property of a triangle,

X+ 3x + y =180

-5 (4x + Y = 180.).......(1)

4 (-5X +3y= 30).....(2)

-20X-5Y = -900

-20X +12 y = 120

+. - -


-17 Y = -1020

Y= 1020/17

Y= 60 degrees

4x +60 = 180

4x = 120

X= 30.

Hence the other two angles are

30 degree and 3×30= 90 degrees.

➡it is clear that the triangle is a right angled triangle as one of its angle = 90.


Hope it helps you ✌✌