Question

sides of triangle are in the ratio 5 ratio 4 ratio 10 which of the following words best describe the triangle.
acute
obtuse
right
impossible​

Answer 1

Answer:

D] Impossible

Explanation :-

According to triangle inequality theorem,

Sum of 2 sides of a triangle > Third side.

Let:

The sides of the triangle be

• 5x,
• 4x and
• 10x

Applying this property for the given condition,

→ 5x + 4x > 10x

But,

9x < 10x

So, such a triangle is impossible and cannot be formed.

KNOW MORE:

• Acute angle triangle is a triangle in which atleast 1 angle is less than 90°
• Obtuse angled triangle is a triangle in which atleast 1 angle is greater than 90°
• Right angled triangle is a triangle in which 1 angle is exactly equal to 90°

Answer 2

Answer:

Option : C

Step-by-step explanation:

According to the formation of triangles

Sum of two sides of triangles is greater than third side

by the same way difference of two sides is less than third side

So

Let

the three sides be

• 5x
• 4x
• 10x

Step 1:

According to sum of sides of triangles

→5x+4x≥10x

→9x≥10x

But it was not possible so the formation of triangle is impossible

Step 2:

According to difference of sides of triangles

→10x-5x≤4x

→5x≤4x

But it was not possible so the formation of triangle is impossible