The sum of the lengths of any two sides of a triangle is gre

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. What can you conclude about AC in triangle ABC when BC+AC=22 and AB+BC=12?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side. What can you conclude about AC in triangle ABC when BC+AC=22 and AB+BC=12?

Solution

Ans:-

By equation 2nd:-

AC<12 (AC less than 12)

By equation 1:-

BC>10. (BC greater than 10)

AB has a range of (1,2)   

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. What can you conclude about AC in triangle ABC when BC+AC=22

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