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bnvghnbbb
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
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Ответ:
It is B. Right Triangle, because the Pythagorean Theorem can only be used to analyse right triangles, just like trigonometric ratios only work on right triangles.
Besides, it is the only one that makes sense in that blank.
Ответ: