based on the measurements shown on triangle ABC , AB must be ?
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Answer:
10 ft.
Step-by-step explanation:
Because the length of AC is equal to AB, the length of AB must be congruent to the length of AC. Therefore, AB is 10 ft.
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The length of AB of the given triangle must be in between 7feet and 10 feet.
A triangle is a two-dimensional geometrical figure with three sides, three angles, and three vertices.
Given, ∠BAC = 47°, ∠ABC = 68°.
Therefore, ∠ACB = 180° - (47° + 68°) = 180° - 115° = 65°.
We know, the opposite side of the largest angle must be the largest side of that triangle.
Therefore, AC is the largest side of the given triangle as ∠ABC is the largest angle of the ΔABC.
Now, AB is the second largest side of the given triangle as as ∠BAC is the second largest angle of the ΔABC.
Therefore, BC is the smallest side of the given triangle as ∠ABC is the smallest angle of the ΔABC.
Therefore, the length of AB must be in between 7feet and 10 feet.
Learn more about a triangle here: https://brainly.com/question/12323181
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