Ebberman3410
14.04.2020 •
Mathematics
The figure below shows two triangles EFG and KLM:
Two triangles EFG and KLM are drawn. Angle KML is a right angle. The measures of the sides of the triangles are, In triangle EF
Which of the following can be used to prove that triangle EFG is also a right triangle? (1 point)
Prove that the sum of a and c is greater than b.
Prove that the sum of a and b is greater than c.
Prove that the ratio of EF and KL is greater than 1 and hence, the triangles are similar by AA postulate.
Prove that KL is equal to c by Pythagorean Theorem.
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Ответ:
Which of the following can be used to prove that triangle EFG is also a right triangle?
D. Prove that KL is equal to c by the Pythagorean Theorem
Since we know that both triangles have a and b in common, the same side lengths, then KL must be equal to c as well. Using the Pythagorean Theorem, this can be proved. And because the Pythagorean Theorem can only be used on a right triangle, then triangle EFG must also be a right triangle if KL if also equal to c.
Hope this helps!! :)
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