Question

the sides of a triangle are in the ratio 6:8:9 then choose the correct statement. a. the triangle is obtuse. b. the angles are in the ratio 6:8:9. c.the triangle is acute. d.the angle opposite the largest side is double the angle opposite the smallest side.​

Answer 1

Answer:

Please see the attachment

Answer 2

Triangle would acute.

Step-by-step explanation:

Since, a triangle ABC with sides a, b and c is obtuse,

If  a² + b² < c² or a² + c² < b² or b² + c² < a²

It is acute if,

a² + b² > c² or a² + c² > b² or b² + c² > a²

It is right triangle if,

a² + b² = c² or a² + c² = b² or b² + c² = a²,

Here, the ratio of the sides = 6:8:9,

Let sides 6x, 8x and 9x, where x is any positive real number.

Also, (6x)² + (8x)² > (9x)², (6x)² + (9x)² >  (8x)²  and (9x)² + (8x)² > (6x)²

Hence, triangle is acute..

#Learn more :

How to find any triangles are acute angle triangle, obtuse angle triangle and right angle triangle...sides are give that a, b and c

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