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In right triangle ABC above, BC = 12, and AD = 9. Which of t
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02 Dec 2020, 09:33
02 Dec 2020, 09:33
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Question Stats:
86% (01:18) correct
13% (01:03) wrong based on 60 sessions
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In right triangle \(ABC\) above, \(BC = 12\), and \(AD = 9\). Which of the following statements, considered individually, is sufficient to determine the triangle’s area?
Indicate all that apply.
A. Triangle \(ABD\) is equilateral
B. \(DC = 6\)
C. \(\overline{BD}\) is not perpendicular to \(\overline{AC}\)
D. \(AB=\frac{3}{4}BC\)
E. \(AB \neq AD\)
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Re: In right triangle ABC above, BC = 12, and AD = 9. Which of t
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03 Dec 2020, 01:41
03 Dec 2020, 01:41
any explanation!!
Re: In right triangle ABC above, BC = 12, and AD = 9. Which of t
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03 Dec 2020, 02:16
03 Dec 2020, 02:16
1
Expert Reply
A. correct
If ABD is equilateral, then AB, the height in larger triangle ABC is 9, and since we also know base BC, we can compute the area
B. correct
Because if DC = 6, then AC, the hypotenuse of the right triangle, equals 9 + 6, or 15. This would allow us to compute AB from the Pythagorean Theorem and the area.
D. correct
if \(AB=\frac{3}{4}BC\) then \(AB=\frac{3}{4} \times 12=9\) and we know the base and height
C and E. incorrect
not enough information to know some angle or height
If ABD is equilateral, then AB, the height in larger triangle ABC is 9, and since we also know base BC, we can compute the area
B. correct
Because if DC = 6, then AC, the hypotenuse of the right triangle, equals 9 + 6, or 15. This would allow us to compute AB from the Pythagorean Theorem and the area.
D. correct
if \(AB=\frac{3}{4}BC\) then \(AB=\frac{3}{4} \times 12=9\) and we know the base and height
C and E. incorrect
not enough information to know some angle or height
