Question

Anna is standing on the roof of a 35-foot building and is located at point A.

There is a 60-foot rope hanging from a point on the roof. When the rope is stretched out, it reaches to point C. She wants to know how far she is from point

B.


If Anna can show that triangles ABD ABD and ACD ACD are congruent, she can find the distance from A to B


Which additional segment lengths could be used to prove that △ADB≅△ADC by using the SAS Congruence Postulate?


THERE IS MORE THAN ONE ANSWER


CD=7 ft.

BD=6 ft.

CD=12 ft.

BD=5 ft.

CD=8 ft.

BD=8 ft.

Answer 1

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Answer:

CD = 8 ft.

BD = 8 ft.

Explanation:

To make use of the SAS postulate, Anna needs to identify two sides on either side of congruent angles.

The only marked angle is the right angle. We know that AD is congruent to itself, so Anna also needs to use the segments CD and BD, which are on the other side of the right angle in the right triangles.

The two choices in which BD and CD have the same length are

• CD=8 ft.
• BD=8 ft.