Check if given set of numbers 6,8,10 forms pythagorean triplet or not?
1 answer:
We know that,
- Pythagoras theoram is given by : p² + b² = h²
- In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.
Then,
We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.
Sum of squares of smaller sides:
= 6² + 8²
= 36 + 64
= 100
Square of longer side:
= 10²
= 100
Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.
And we are done! :D
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Answer: 1/10 miles/hour
To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.
<h2>Unit Rate</h2>The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.
<h2>Proportions</h2>Proportions look like two fractions set equal to each other with a missing variable to solve.
<h3>State our variables</h3>let <em>x</em> be the number of miles per hour
<h3>Write a proportion</h3>The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, <em>x</em>, that we are solving for. We can write <em>x</em> in the numerator.
We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find <em>x</em>.
<h3>Find the scale factor</h3>Start with the proportion.
To find the scale factor,
- Take the denominator from the fraction with a variable:
- Take the denominator from the fraction that has no variable:
- Divide step 1 by step 2 and solve:
Our scale factor is <u>3</u>.
<h3>Solve for x</h3>We can find <em>x</em> by multiplying the numerator in the first fraction by the scale factor. This is because <em>x</em> is also in the numerator.
Simplify 3/30 by dividing the fraction by 3.
x = 1/10
∴ a snail moves 1/10 miles per hour.
Learn another way to solve proportions here: brainly.com/question/18437927