Question

The angles of a triangle are in the ratio 5: 1:3, then the product of its largest and smallest angle (in sq. degrees) is​

Answer 1

5+1+3-9

9/3-3

5*3-15

1*3-3

3*3-9

Answer 2

SOLUTION

GIVEN

The angles of a triangle are in the ratio 5 : 1 : 3

TO DETERMINE

The product of the largest and smallest angle (in sq. degrees)

EVALUATION

Here it is given that the angles of a triangle are in the ratio 5 : 1 : 3

Let angles are 5x , x , 3x

So by the given condition

5x + x + 3x = 180°

⇒ 9x = 180°

⇒ x = 20°

Largest angle = 5x = 100°

Smallest angle = x = 20°

Hence the required product

= 100° × 20°

= 2000 sq. degrees

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