Please help will mark the brainlest
Use the figures to complete the statements proving th...
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Mathematics, 05.05.2020 15:21 noodleboy0923
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
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