True or False
All right triangles are isosceles.
(1 point)
Responses
true
true
false
false
False.
Not all right triangles are isosceles. An isosceles triangle has two sides of equal length, whereas a right triangle has one angle measuring 90 degrees. Some right triangles can be isosceles, but not all of them.
False.
To determine if all right triangles are isosceles, we need to understand the properties of right triangles and isosceles triangles.
A right triangle is a triangle that has one angle measuring 90 degrees. The other two angles are acute, meaning they are less than 90 degrees.
An isosceles triangle is a triangle that has two sides of equal length. This means that two of its angles are also equal.
Now, to determine if all right triangles are isosceles, we can consider the following:
1. If a right triangle has two sides of equal length, then it is isosceles.
2. If a right triangle does not have two sides of equal length, then it is not isosceles.
Since the definition of a right triangle does not specify anything about the lengths of its sides, it is possible for a right triangle to be isosceles, but it is not always the case.
Therefore, the statement "All right triangles are isosceles" is false.