Question

PLEASE HELP:
Hillary is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC^2 = AB^2 + AC^2?

(A)By the addition property of equality, AC^2 plus AD^2 = AB multiplied by DC plus AD^2.
(B) By the addition property of equality, AC^2 plus AD^2 = BC multiplied by DC plus AD^2.
(C) By the addition property of equality, AC^2 plus AB^2 = AB multiplied by DC plus AB^2.
(D) By the addition property of equality, AC^2 plus AB^2 = BC multiplied by DC plus AB^2.

Answer 1

What do you think it is?

Answer 2

Well as we can see. We can prove this with Pythagorean theorem. Which doesn't seem to be an answer choice.

Answer 3

i think it is A

Answer 4

does it mean squared when you say BC2?

Answer 5

Bc^2?

Answer 6

yea BC^2

Answer 7

a seems besides the point because we have to prove BC^2 = AB^2 + AC^2 true,

Answer 8

hold on, lemme think about this.

Answer 9

ok

Answer 10

So if you notice, for every answer choices such as AC^2 plus AD^2 = AB multiplied by DC plus AD^2. You can simplify to AC^2 = (AB)(DC) which we can substitute into the Pythagorean theorem (well the correct one) to see which answer choice is correct

Answer 11

So for the second answer choice it would be
C^2 = BC)(DC

Answer 12

if we simplify it is what I mean

Answer 13

Oh, I was being dumb. This has to do with proportions.