The pythagorean theorem is true for all similar triangles.
a. true
b. false

False

Step-by-step explanation:

The Pythagorean theorem is true for all right triangles.

In geometry, the Pythagorean theorem which is also known as Pythagoras' theorem, tells a fundamental relation among the three sides of a right triangle. It states that in right triangle the square of the hypotenuse which is the side opposite the right angle is equal to the sum of the squares of the other two sides.

Therefore, the given statement is false.

The Pythagorean theorem is true for all right triangles.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)