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lord [1]
4 years ago
12

Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not.

Mathematics
2 answers:
andre [41]4 years ago
7 0

Answer:

no, because two sides have to be equal

Step-by-step explanation:

Anna007 [38]4 years ago
5 0

Answer:

24, 32, 40 can be the lengths of the three sides of a right triangle

Step-by-step explanation:

Pythagoras theorem:

c^2 = a^2 + b^2

40^2 = 1,600

32^2 + 24^2 = 1024 + 576 = 1,600

If the square of the length of the hypotenuse (longest side length)  is equal to the sum of the squares of the lengths of the other two sides then it's a right triangle

So

40^2 = 32^2 + 24^2

1,600 = 1,600

24, 32, 40 can be the lengths of the three sides of a right triangle

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The 45°- 45° - 90° Triangle Theorem states that the length of the hypotenuse is ________ times the length of one leg.
Airida [17]
 <span>This is an isosceles triangle. If each side is 1, we can find the hypotenuse using the Pythagorean theorem. 

a^2 + b^2 = c^2 
1^2 + 1^2 = c^2 
1 + 1 = c^2 
2 = c^2 
root 2 = c 

Thus, the answer is root 2.

Hope this helps :)</span>
3 0
3 years ago
Which is an equation of a line through (7,1) and perpendicular to y=-x+3
zysi [14]

Answer:

The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.

Step-by-step explanation:

y=mx+b

m=-1

y-y=m(x-x¹)

y-1=-1(x-7)

y-1=-1x+7

+1 +1

y=-x+8

I hope this helps:)

6 0
3 years ago
A dealer bought an item for $20 sold it for 24 bought it for 25
yuradex [85]

Answer:

$3

Step-by-step explanation:

Started with $20 Sold for $24 Bought it for $25 Then sold it for $28

so, $24 -$20= so she made $4.

then she bought it for $25-$24= so she only made $1

Finally she sold it for $28-$25 so she made a total of $3

6 0
3 years ago
Consider the system of equations.
torisob [31]

Answer:

the second equation converted to slope-intercept form is y = -1/3x -1

Step-by-step explanation:

3 0
3 years ago
You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price.
gizmo_the_mogwai [7]
Answer: The original price is $9.5
In this question, you are given the total spending( $30.40), amount of spend (4CDs) and the discounted price(80%). Then to find the original price of the CD, the calculation would be:

Total spending = amount of cd x CD discounted price
$30.40 = 4 x 0.8 Original price
3.2 Original price= $30.40
Original price= $9.5
4 0
3 years ago
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