Question

Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 8y ft. and the middle length side x + 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out and express in simplest correct mathematical form, including units.

Answer 1

Middle Length side in sense?????

Answer 2

Pardon?????? I asked what it means

Answer 3

probably the hypotenuse?

Answer 4

If middle side means the side of the other side other than hypotenuse then the area is equal to 1/2(base*height).
Here because it is a right angled triangle base is one of the side and the second side is the height..
\[ie, 1/2((x-8y)(x+6y))=1/2(x^2-2xy-48y^2) sq.ft\]

Answer 5

yes

Answer 6

Assuming this is the triangle:

then the solution shown by @Atchyut is correct