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Lostsunrise [7]
2 years ago
10

PLEASEEE EXPLAIN AND HELP

Mathematics
1 answer:
Firdavs [7]2 years ago
5 0

The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

<h3>Triangle ACD</h3>

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

  • c² = a² + b²

where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

CD = 20 / √2 = 20√2 / 2 = 10√2

20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

AC = √200 = 10√2

<h3>Triangle ABC</h3>

ΔABC is a right angle triangle too. Therefore,

  • AB² + BC² = AC²

Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

learn more on triangles here: brainly.com/question/24304623?referrer=searchResults

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artcher [175]

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6 0
3 years ago
You unfold chicken wire to make a circular pen. The area of the pen is 78.5 square meters. How many meters of chicken wire do yo
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If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(\sqrt{ \frac{78.5}{ \pi} }) which gives you approximately 31.41. 

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8 0
3 years ago
What is the nth term rule of the linear sequence below?
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6 0
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What is the solution of the equation 3^5 sqrt (x+2)^3+3=27?
BlackZzzverrR [31]
3^5) (x + 2)^(3/2) + 3 = 27 
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<span>x + 2 = [ 24 / 243 ]^(2/3) </span>
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<span>x = [ 4 / 81^(2/3) ] - 2 =-1.786

the answer is x=-1.786</span>
4 0
3 years ago
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