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05.05.2020 • 
Mathematics

Please help will mark the brainlest

Use the figures to complete the statements proving the converse of the Pythagorean theorem.

Drag and drop a phrase, value, or equation into each box to correctly complete the proof.

QUESTION)

The converse of the Pythagorean theorem states that if

△ABC

has sides of a, b, and c such that a² + b² = c² , then

△ABC is a BLANK???

To prove this, consider the right triangle

△DEF

with sides a, b, and x. By the Pythagorean theorem, we know that for this triangle, a² + b² = x².

Since a² + b² = c² and a² + b² = x², it must be true that c² = x² . Because sides of triangles are positive, then we can conclude that c = x. Thus, the two triangles have congruent sides and are congruent.

Finally, if

△ABC

is congruent to a right triangle, then it must also be a right triangle.

c² = x²right triangle.

A) c^2=x^2

B) Right Triangle

C) a^2+b^2=x^2

D) a^2+b^2=c^2


Please help will mark the brainlestUse the figures to complete the statements proving the converse o

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