C. Exactly one unique triangle exists with the given side lengths.
<u>Step-by-step explanation:</u>
A triangle consists of three sides, depending on the measurement of the sides, naming of the triangles can be varied.
If all the three sides are equal in length, it is said to be an equilateral triangle. Only one triangle can be formed using the measures of 7 in, 7 in, 7 in, that is all the three sides are same in measurement of 7 inches.
So, Exactly one unique triangle can be produced with the given side lengths.
Answer:
It's not a polygon
Step-by-step explanation:
Polygons are always 2D. This shape is 3D. Everything else is fine.
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Answer:
287 in²
Step-by-step explanation:
The figure given is a combination of a cube and a rectangular prism. The formula for the volume of a rectangular prism is:
SA = 2(ab) + 2(ac) + 2(bc), where 'a', 'b' and 'c' are the measures of the prism.
The formula for the volume of a cube is:
SA = 6s², where 's' is the measure of the side of a cube
Prism: SA = 2(3*3) + 2(3*12) + 2(3*12) = 18 + 72 + 72 = 162 in²
Cube: SA = 6(5)² = 150 in²
Since the prism is stacked on top of one of the sides of the cube, you can subtract one of the sides since it is overlapping:
150 - 25 = 125 in²
total surface area: 125 + 162 = 287 in²
Answer:
A triangle with three equal sides all longer than 12 inches
Step-by-step explanation:
Answer:
seven hundred sixty eight ten thousandths
Step-by-step explanation: