How many different isosceles triangles can be drawn with one angl
50° and one side 7 cm?
Answers
Answer:
Four... u can refer to the given below information
Despite two other answers to the contrary, I believe there are 4 triangles possible. Since this is an isosceles triangle (i.e. two and only two sides equal, otherwise it would be equilateral or scalene), We can imagine two basic shapes, one in which the apex angle is 50 degrees, and one in which the base angles are both 50 degrees. For each of these two triangles, we can imagine one has a 7 cm base and another has 7 cm sides. That’s a total of four.
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Answer:
step by explanation:
It depends on whether the question means “only one angle of 50 degrees” “and only one side equal to 7 cm” or “at least one angle of 50 degrees” and “at least one side equal to 7 cm”. If the former, then it must be the angle at the apex of the triangle which is 50 degrees. The 7 cm side must then be the base. This gives only one such triangle. If the latter, then two cases may be identified:
The 50 degree angle is at the apex. In this case a 7 cm side may be the base or one of the sides (which latter would, of course, make the other side 7 cm also). This creates two triangles.
The 50 degree angle is adjacent to the base, which of course creates another 50 degree angle. The 7 cm side may then be the base, or again, a side. This creates another two triangles.
We thus have a total of 5 possible triangles, depending on how the question is interpreted, but only so long as the question is consistent between the number of angles and sides. We could consider less consistency and read the question as, for example, at least one angle of 50 degrees and only one side of 7 cm, but I feel that is going a little too far, though it would be not difficult to analyse.... clearly answer was not mentioned...pls don't mind.....
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