A triangle has side lengths measuring 2x + 2 ft x + 3 ft, and

Mathematics

1 answer:

Marta_Voda [28]2 years ago

5 0

Answer:

$3x+5 < n < x-1$

Step-by-step explanation:

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the Triangle Inequality Theorem

1) $(2x+2)+(x+3) > n$

solve for n

$3x+5> n$

Rewrite

$n$

2) $(x+3)+n> 2x+2$

$n> x-1$

therefore

$3x+5 < n < x-1$

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