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jonny [76]
3 years ago
10

Explain and Prove that the sides of the triangles below are a right triangle.

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0
3.) 3, 4, 5
&
4.) 6, 8, 10
Those two are right triangles because when you add the squares of the first two it should give you the square root of the third number

a^2 + b^2 = c^2

So
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25

6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100

Therefore they are right triangles

But 1 & 2 aren’t right triangles because when you add the squares of the first two number, it doesn’t equal to the square root of the third number.

Hope this helps!!
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Answer:

we have, 1953125=5⁹, so it cannot be a perfect square. If the last digit of a given number is 5, then the last three digits must be perfect squares, 025 or 225 or 625. Otherwise, that number cannot be a perfect square. And as 125 is not a perfect square, so no number ending with 125 can be a perfect square

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3 years ago
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The sum of two consecutive odd numbers is 284. Find each number please.
Vlad [161]
We can solve this by finding one of the numbers first
Let the smaller number be y. 
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).

Therefore, 
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2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
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shift x2 to the other side and turn it into /2
y = 282/2
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Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143, 
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8 0
3 years ago
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3(2.4−1.1m)=2.7m+3.2
telo118 [61]

Hello again!

First, distribute the 3 to the parenthesis, so you get 7.2-3.3m=2.7m+3.2. Next, subtract 3.2 from both sides to get m's on one side. Then you have 4.2-3.3m=2.7m. Next, add 3.3m to both sides so you can solve for m. Now you have 4.2=6m. Then, divide 4.2 by 6, and m=.7

Hopefully this helps! Let me know if you have any questions

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