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IgorLugansk [536]
3 years ago
14

Carrie found a stone in the shape of a 30°–60°–90° triangle. The hypotenuse has a length of 5 cm. What is the length of the shor

ter leg? A. 2.5 cm B. 2.9 cm C. 3.5 cm D. 10.0 cm
Mathematics
1 answer:
Elis [28]3 years ago
4 0
Hi friend,
The length of the shorter leg would be, <span>A. 2.5 cm.
Hope this helps you some!</span>
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Digiron [165]

m GH = 57''

________


tan 39° = opposite / adjacent

tan 39° = m GH / m HJ

tan 39° *  m HJ = m GH

m HJ = m GH / tan 39°

m HJ ≈ 57'' / 0.810

m HJ ≈ 70.4''    <——<span>—    measure of the segment HJ</span>

________


sin 39° = opposite / hypotenuse

sin 39° = m GH / m GJ

sin 39° * m GJ = m GH

m GJ = m GH / sin 39°

m GJ = 57'' / 0.629

m GJ ≈ 90.6''    <———    measure of the segment GJ

________


So the perimeter is

p  =  m GH  +  m HJ  +  m GJ

p  =  57''  +  70.4''  +  90.6''

p  =  218''    <——<span>—    this is the answer.</span>


I hope this helps. =)


Tags:  <em>perimeter right triangle sine cosine tangent sin cos tan trig trigonometry geometry</em>

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Determine the value of y, if x is 5.<br> y = x2-7
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Answer:

Y = 3

Step-by-step explanation:

5 times 2 is 10 minus 7 is 3.

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