Question

If the angles of a triangle are in the ratio 2:3 : 5, then the largest angle of the triangle is:
(A) 120°. (B) 100°
(C) 36° (D) 90°

Answer 1

Option D is correct

90°


Solution:


Let the angles be 2x, 3x , 5x


Sum of the angles of ∆ = 180°


2x+ 3x+ 5x= 180°


10x= 180°


x= 180/10


x= 18°


Largest angle= 5x = 5× 18 = 90°


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Hope this will help you. ..

Answer 2

If the angles are in ratio 2:3:5 then the angles are 2x,3x,5x.
=2x+5x+3x = 180
=10x = 180
=x = 180/10
=x = 18
Then angles are 2x=2*18=36
3x=3*18=54
5x= 5*18=90
=Option (D) 90 is the correct option.