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polet [3.4K]
1 year ago
11

In triangle △ABC, ∠ABC=90°, BH = altitude

Mathematics
1 answer:
Ainat [17]1 year ago
3 0

Answer: The exact length of segment HC is sqrt(3) units

The approximate length is roughly 1.73205080756888 (round that however you need to)

==============================================

Work Shown:

Let x = length of HC

Since AH = 3*HC, this means AH = 3*x

Draw out the picture. This step is optional but helpful in my opinion. The drawing is attached below.

After adding in the altitude BH, we have three similar triangles. So we can form the proportion shown below to solve for x

HC/BH = BH/AH

HC/3 = 3/AH ... replace BH with 3

x/3 = 3/AH ... replace HC with x

x/3 = 3/(3x) ... replace AH with 3x

x/3 = 1/x ... reduce

x*x = 3*1 ... cross multiply

x^2 = 3

x = sqrt(3) ... which is shorthand for "square root"

HC = sqrt(3)

HC = 1.73205080756888 which is approximate

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2 years ago
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D

Step-by-step explanation:

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8 0
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(03.01 MC)Maria and Edwin have $23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to
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4 0
2 years ago
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Pie

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

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8 0
1 year ago
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