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Pepsi [2]
3 years ago
11

one leg of a right triangle is 5 millimeters shorter than the longer leg and the hypotneuse is 5 millimeters longer than the lon

ger leg. Find the lenghts of the sides
Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0
The answer, in short, is that the short leg equals 15 mm, the long leg equals 20 mm, and the hypotenuse equals 25mm. but if you'd like to see how I solved it, here are the steps.
-----------------------------
The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².

Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5. 

So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²

Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25

Now combine like terms:
2B² -10B + 25 = B² + 10B + 25

And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B

Subtract B² from each side:
B² - 10B = 10B

Add 10B to each side:
B² = 20B

And finally, divide each side by B:
B = 20

So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.

And your final answer is A = 15mm, B = 20mm, and H = 25mm
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Can someone help me with these
Trava [24]
Short answer
For 6: 72 ft^2
For 7: 650 m^2

Six
The base is a square. It's measurement is s = 4
Base = 4^2 
Base = 16 ft^2

One triangle 
A = 1/2 * b * h
A = 1/2 * 4 * 7
A = 14 tt^2

Four triangles
A = 4 * 14
A = 56 ft^2

Total Area = 56 + 16 = 72 ft^2
Answer 72 square feet

Seven
Triangles
Area of 1 triangle = 1/2 * 10 * 13
Area of 1 triangle = 65


Area of 6 triangles
Area of 6 triangles = 6 * area of 1 triangle
Area of 6 triangles = 390

Base
As near as I can tell, the base is a hexagon. It's using a rather out of the way method of drawing it. I will assume it is a regular hexagon. The area of a regular hexagon is 3 sqrt(3)/2 * S^2 where s is the side of the hexagon.

Area = 3sqrt(3)/2 s^2
s = 10
Area = 3sqrt(3)/2 10^2
Area = 5.1962 * 100 /2
Area = 259.81

Total area
Total area = area of the base + area of the triangles
Total area = 259.81 + 390
Total area (rounded ) = 650

Answer C <<<< answer 

I'll do one more in this batch and then you'll need to repost again.

Eight

If you draw two diagonals on the base of the figure, the intersection point will meet the base of the height. Read that a couple of times.
Join the intersection to the midpoint of the length of the square bottom.  You should get 3.5

x is found by using the pythagorean theorem.
h = 6
s = 3.5
x = ????

x^2 = 6^2 + 3.5^2
x^2 = 36 + 12.25
x^2 = 48.25
x = sqrt(48.25)
x = 6.95 

C <<<< answer

 


8 0
3 years ago
How many times larger is 3.172 x 106 than 2.44 x 105?
ycow [4]

Answer: 2 times larger.

Step-by-step explanation:

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Draw the graph of linear equation 2x - 3y + 7 - 0) and hence find the coordinates of the point when the
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Answer:

The line crosses the x-axis at the point (-3.5,0).

8 0
2 years ago
HELP ASAP!!!! What is the measure of angle VXY??????
Lelu [443]
Set the two values equal to each other with 18x-2=12x+2 and then plug it in to the equation and solve
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3 years ago
The employees of two companies were asked how many times they checked their email during weekends. The table below shows the num
tekilochka [14]
Q1 of company A = 2.5
Q3 of company A = 8
Interquatile range = (Q3 - Q1)/2 = (8 - 2.5)/2 = 5.5/2 = 2.75

Q1 of company B = 2
Q3 of company B = 5.5
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Therefore, t<span>he interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.</span>
3 0
3 years ago
Read 2 more answers
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