Question

Let the following statements be given.
Definition. A triangle is scalene if all of its sides have different lengths.

Theorem. A triangle is scalene if it is a right triangle that is not isosceles.
Suppose ΔABC is a scalene triangle. Which of the following conclusions are valid? (Select all that apply.)
1-All of the sides of ΔABC have different lengths. 2-ΔABC is a right triangle that is not isosceles. 3-Neither conclusion in valid.
4-There is not enough information.

Why or why not? Explain your reasoning.

Answer 1

conclusion A is valid.
as given the triangle is scalane,
but mostly all right angled triangles are isosceles triangles
if a traingle to be iscosceles two sides should be equal
but given that triangle is not iscoseles , so all sides are different ,)

Answer 2

thanks so much

Answer 3

u are welcome honey .. :)