Given: δabc is a right triangle. prove: a2 + b2 = c2 the following two-column proof with missing justifications proves the pythagorean theorem using similar triangles: which is not a justification for the proof? a. addition property of equality b. pythagorean theorem c. pieces of right triangles similarity theorem d. cross product property

Option B - Pythagorean Theorem

Step-by-step explanation:

Given: ΔABC is a right triangle.

Prove:

Solution :

For the results we need to proof the Pythagoras theorem.

Refer the attached figure in the question.

Here, ABC is the triangle in which CD is the altitude from the point C.

Where,

Now,

Segment BC = a, segment CA = b, segment AB = c, segment CD = h, segment DB = x, segment AD = y 

As, c over a equals a over y and c over b equals b over x

We get, y + x = c

By, Pieces of Right Triangles Similarity Theorem

By, Cross Product Property

Substituting,

By, Addition Property of Equality

Hence Proved.

Now, We have seen that only Pythagorean Theorem is not the justification for the proof.

Therefore, Option B is correct.

2

step-by-step explanation:

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