Question

in a triangle the larget angle is 10 times the smallest and the remaining angle is the square of the smallest. the largest angle of the triangle is

Answer 1

Step-by-step explanation:

Let the smallest angle be x

Largest angle = 10 x

Remaining angle =x

2

∴x

2

+x+10x=180

o

orx

2

+11x−180=0

or(x+20)(x−9)=0

orx=9 (Since the angle of a triangle cannot be negative)

Largest angle =10x=10×9=90

o

Answer 2

Step-by-step explanation:

Let the smallest angle be x

Largest angle = 10 x

Remaining angle =x²

∴x² + x + 10x = 180°

or x² + 11x −180 = 0

or (x+20) (x−9) = 0

or x = 9 (Since the angle of a triangle cannot be negative)

Largest angle = 10x = 10×9 = 90°