Question

PLEASE HELP WILL METAL

Answer 1

what's the question?

Answer 2

Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse. Be sure to create and name the appropriate geometric figures.

Answer 3

△ADB∼△ABC∼△BDC
therefore the sides of the triangles are proportional, in particular
ADAB=ABAC ACBC=BCDC
By algebra we have the following equations
AD⋅AC=AB⋅ABAC⋅DC=BC⋅BC
this is the same as
AD⋅AC=AB2AC⋅DC=BC2
"Equals added to equals are equal" allows us to add the equations
AD⋅AC+AC⋅DC=AB2+BC2
By distributive property
AC(AD+DC)=AB2+BC2
but by construction AD+DC=AC.

Substituting we have
AC⋅AC=AB2+BC2
this is equivalent to
AB2+BC2=AC2

Answer 4

Could you help me write this in a two-colum proof

Answer 5

That should help

Answer 6

@Hyroko can i show you what i put