A triangle has two side of length 3 and 7. The third side of this triangle must not be shorter than (blank) or longer than (blank)

The sum of two side lengths of a triangle must be greater than the length of the third.

So, if two side lengths are 3 and 7, the length of the third side must be less than 10 units.

However, it cannot be shorter than 4 units, as 3 + 4 = 7.

So your answer is: The third side of this triangle must not be shorter than 4 or longer than 10

Let me know if this helps!

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step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc