If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?
1 answer:
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Hey there! :)
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.
Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3
~Hope I helped!~
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.
Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3
~Hope I helped!~
Answer:
<em>P=0.0000037</em>
<em>P=0.00037%</em>
Step-by-step explanation:
<u>Probability</u>
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is
Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is
Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is
Finally, the probability of getting the remaining ace out of the 49 cards is:
The probability of getting the four consecutive aces is the product of the above-calculated probabilities:
P=0.0000037
P=0.00037%