Draw How many different
isosceles
triangle
can be drawn with
One angle 50dagree and one
side 7 centimetre?
Answers
Answer:
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. LOL.
Clearly the question was not written by a true mathematician!
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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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[1]: If it meant any one angle = 50 deg & any one side= 7 cm
4 possible triangles can be drawn
[2]: If only one angle = 50 deg & only one side= 7 cm
Only 1 triangle is possible
As per the text of the question , first one should be considered…
If the isosceles triangle is to have one angle 50 deg and one side 7 cm, you can draw only one isosceles triangle. The other two angles will be 65 deg each. And the other two sides will be 3.5 sec 65 = 8.281705541 cm.
How many different isosceles can triangles be drawn with one angle of 50 degrees and one side of 7 cm?
How many equal angles are there in an isosceles Triangle?
What is the number of isosceles triangles in which one angle is 4 times another angle?
How many different triangles can be drawn with two sides (8 cm and 6 cm) and an area of 12 cm?
One side of a triangle is 7 cm and another 4 cm. What would be the two angles?
How many triangles can be drawn with two sides 8 cm and 6 cm and area 12 square centimetres?
How many non-congruent triangles can be drawn with one side 10 centimeters and one angle 100 degrees?
How man different isosceles triangles can be drawn with at least one angle of 55 degrees and at least one side length of 6 inches?
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One angle of an isosceles triangle is 90. What are the measurements of the other two angles?
If 7 cm and 4 cm are the two sides of a triangle, how long is the third side?
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