In the adjacent figure, ABC is a right triangle at A, such that: AB = (V17 – 1) and AC = 2V5 D (V17 + 1). B. BCD is a triangle, where: BD = 2V5 and CD = 4. All the dimensions are expressed in centimeters. (V17 – 1) 1) Show by calculation, that BC is a natural number. 2) Prove that BCD is a right triangle. 3) Let M be the midpoint of the segment [BC]. Calculate AM. A C. (V17 +1)
In the adjacent figure, ABC is a right triangle at A, such that: AB = (V17 – 1) and AC = 2V5 D (V17 + 1). B. BCD is a triangle, where: BD = 2V5 and CD = 4. All the dimensions are expressed in centimeters. (V17 – 1) 1) Show by calculation, that BC is a natural number. 2) Prove that BCD is a right triangle. 3) Let M be the midpoint of the segment [BC]. Calculate AM. A C. (V17 +1)
Trigonometry (MindTap Course List)
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ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
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![Exercise (7)
In the adjacent figure, ABC is a right triangle at A, such that:
AB = (V17 – 1) and AC =
2V5
D
(V17 + 1).
BCD is a triangle, where: BD = 2/5 and CD = 4.
All the dimensions are expressed in centimeters.
(V17 – 1)
1) Show by calculation, that BC is a natural number.
2) Prove that BCD is a right triangle.
3) Let M be the midpoint of the segment [BC]. Calculate AM.
4) Denote by H the foot of the height drawn from D in the triangle BCD.
a. Calculate an exact value of area of the triangle BCD.
A
(V17 +1)
b. Deduce an exact value of DH.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87ff2592-4466-4b66-a5b9-5d389f3a132f%2F00a4a6c3-379a-416b-a581-d7a4452d9651%2Fnyrlloi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise (7)
In the adjacent figure, ABC is a right triangle at A, such that:
AB = (V17 – 1) and AC =
2V5
D
(V17 + 1).
BCD is a triangle, where: BD = 2/5 and CD = 4.
All the dimensions are expressed in centimeters.
(V17 – 1)
1) Show by calculation, that BC is a natural number.
2) Prove that BCD is a right triangle.
3) Let M be the midpoint of the segment [BC]. Calculate AM.
4) Denote by H the foot of the height drawn from D in the triangle BCD.
a. Calculate an exact value of area of the triangle BCD.
A
(V17 +1)
b. Deduce an exact value of DH.
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