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Chapter 6: Q11. (page 221)

Is it possible for a triangle to have sides with the lengths indicated?

0.6,0.5,1

Short Answer

Expert verified

Yes, it is possible for a triangle to have sides with lengths 0.6,0.5,1.

Step by step solution

01

Step 1. Apply the triangle inequality theorem.

The triangle inequality theorem states that the addition of any two sides of the triangle must be greater in length than the third side.

02

Step 2. Step description.

Apply the triangle inequality theorem

0.6+0.5=1.1>10.5+1=1.5>0.60.6+1=1.6>0.5

03

Step 3. Step description.

As theaddition of any two side’s lengths of atriangleis greater than the length of the remaining side, thus it is possible to have a triangle with such sides.

Therefore, it is possible to have a triangle with sides 0.6,0.5,1.

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