Brainliesttt asap! me : )

assume that the wooden triangle shown is a right triangle.

a. write an equation using the pythagorean theorem and the measurements provided in the diagram.
hint: (leg 1)^2 + (leg 2)^2 = (hypotenuse)^2

b. transform each side of the equation to determine if it is an identity.

Step-by-step explanation:

(10x + 15y)² = (8x + 12y)² + (6x + 9y)²

{(a + b)² = a²+2ab + b² }

(10x)² + 2*10x*15y + (15y)² = (8x)² + 2*8x*12y + (12y)² + (6x)² + 2*6x*9y +(9y)²

100x² +300xy + 225y² = 64x² + 192xy + 144y² + 36x² + 108xy + 81y²

100x² +300xy + 225y² =  100x² +  300xy + 225

b.

a.

Step-by-step explanation:

b.

a.

The two expressions are identical on each side of the equivalence symbol, therefore they are an identity.

I am joyous to assist you anytime.

5/20 so 25%

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb