Question

Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths. Which statements should she consider to determine whether it will be a right triangle? Check all that apply. 15 + 36 greater-than 41, so the side lengths will form a triangle. 15 + 36 not-equals 41, so those lengths will not form a triangle. 15 squared + 36 squared = 1,521 41 squared = 1,681 Since a squared + b squared not-equals c squared, it will not be a right triangle. 15 squared + 36 squared = 297 41 squared = 82

Answer 1

Answer:

A and C are correct.

Step-by-step explanation:

A: 15 + 26 is greater than 41 so it will form a triangle

B: 15 + 36 is not equal to 41 so it will not form a triangle

C: 15 squared + 36 squared = 1,521

   41 squared = 1,681

   Since a squared + b squared not-equals c squared, it will not be a right    

   triangle.

D: 15 squared + 36 squared = 297

    41 squared = 82

A is correct because any 2 sides of a triangle must be greater than the third.

B is incorrect because it cannot equal the third side, but must be greater than.

C is correct because in a right triangle, the sum of the square of the legs must be equal to the square of the hypoteneuse.

D just does not make sense.