My homework was questions 2, 7, 14, & 18.
2) A triangle has side lengths of 7cm, 11cm, & 15cm. Explain how you can determine whether or not it is a right triangle.
In order for a triangle to be a right triangle, a²+b²=c². In this case, a²+b² does NOT equal c² therefore, this is NOT a right triangle.
7) The sides of a right triangle measure 9cm, 12cm, & 15cm. 
a) What is the area of each square attached to the three sides of the right triangle?
area for a²= 144cm²
area for b²= 81cm²
area for c²= 225cm²
b) Write an addition statement showing the relationship between the areas of the three squares.
c) Describe, using words and symbols, the relationship between the side lengths of each square.
-The area sum of the squares a & b equals the area of square c.
14) Show whether each triangle in the table is a right triangle.
18)The diagram is made of two triangles and five squares.
a) What is the area of square X?
The area of square X is 28cm²
b) What is the area of square Y?
The area of square Y is 16cm² because the hypotenuse for the 2 triangles is 28cm², and side B is 12cm², therefore 16cm²+12cm² = 28cm². The question was basically asking, ' what + 12cm² = 28cm²? ', in my point of view.
Links:
Pythagorean Theorem
Pythagoras Theorem
Videos:
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