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5. What assumption would you make to
start the indirect proof that AB is
congruent to BC?
A. A#B
B. B#C
C. AB + BC
D. BA < CB​


Sagot :

Answer:

c.AB + BC

Step-by-step explanation:

Indirect Proof: 

Step 1 Assume that the hypotenuse of a right triangle is not the longest side. That is, AB < BC and AB < AC.

Step 2 If AB < BC, then m C < m A. Since m C = 90, m A > 90. So, m C + m A > 180. By the same

reasoning, m C + m B > 180.

Step 3 Both relationships contradict the fact that the sum of the measures of the angles of a triangle equals 180.

Therefore, the hypotenuse must be the longest side of a right triangle.

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