A right triangle has base (x-6) units and height (6x-12) units.
Part A: What is the square of the length of the hypotenuse of the triangle? Show your work. (4 points)
Part B: What is the area of the triangle? (3 points)
Part C: Using the solution obtained in part B, explain the closure property of multiplication of polynomials (3 points)

Question

A right triangle has base (x-6) units and height (6x-12) units. 
Part A: What is the square of the length of the hypotenuse of the triangle? Show your work. (4 points) 
Part B: What is the area of the triangle? (3 points) 
Part C: Using the solution obtained in part B, explain the closure property of multiplication of polynomials (3 points)

anonymous · Answer

@TinkerbellGirl

mathmale · Answer

This is a great opportunity to apply the Pythagorean Theorem.

mathmale · Answer

Why not draw the triangle, indicating that the base is x-6 and the height is 6x-12?

mathmale · Answer

Then draw in the hypotenuse and figure out how to write an expression for the square of the length of the hypotenuse.

anonymous · Answer

|dw:1409097835388:dw|

anonymous · Answer

I don't really know what else to do @bibby

mathmale · Answer

What does the Pythagorean Theorem say?  supposing you have a right triangle with legs a and b, and that the hypotenuse is c.  How are a, b and c related?

bibby · Answer

Use the pythaogrean theorem for a
Use the area formula for b