If R is the set of isosceles right angled triangles and I is set of isosceles triangles, then
a)R = I
b)
c)R ⊂ I
d)none of these
Kindly explain
It would help if you would proofread your work before you post it.
What is b?
Isosceles right angled triangles would be included in set of Isosceles triangles.
To determine the correct answer in this case, we need to understand the properties of isosceles right-angled triangles and isosceles triangles.
An isosceles right-angled triangle is a triangle in which two sides are of equal length and one angle measures 90 degrees.
An isosceles triangle is a triangle in which two sides are of equal length.
Now let's consider the options one by one:
a) R = I: This means that the set of isosceles right-angled triangles is equal to the set of isosceles triangles. However, this statement is not true because not all isosceles triangles are right-angled. So, option a) is incorrect.
b) This option is incomplete and doesn't provide any specific statement or relationship between R and I. Therefore, we cannot determine if option b) is correct or not based on the given information.
c) R ⊂ I: This symbol (∈) denotes subset, which means that R is a subset of I. If R ⊂ I, it would imply that all isosceles right-angled triangles are also isosceles triangles. Since every isosceles right-angled triangle is indeed an isosceles triangle, this statement is true. Therefore, option c) is the correct answer.
d) This option states that none of the given options are true. However, as we have determined that option c) is correct, option d) is incorrect.
In conclusion, the correct answer is c) R ⊂ I, which means that the set of isosceles right-angled triangles is a subset of the set of isosceles triangles.