All categories

3 years ago

Each leg of a 45 45 90 triangle measures 12cm, what is the length of the hypotenuse

Mathematics

2 answers:

erastova [34]3 years ago

8 0

Answer:

12√2

Step-by-step explanation:

Use the Pythagorean Theorem here:

(12 cm)^2 + (12 cm)^2 = 288 cm^2.

The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2

wel3 years ago

3 0

Given that both legs of a 45, 45, and 90 degree triangle are 12cm, find out the length of the hypotenuse.

To solve for the hypotenuse, we will use the Pythagorean Theorem.

The formula to find the hypotenuse is:

a^2 + b^2 = c ^2

We already know that both legs are 12cm, so we can plug them in.

12^2 + 12^2 = c^2

Solve.

144 + 144 = c^2

Add.

288 = c^2

Find the square root of 288.

sqrt(288) = 16.97

Therefore, the square root of 288 is 16.97

If we round 16.97 to 17 and then square it, that would equal 289.

So, the best choice is to leave it as 16.97.

Thus, the length of the hypotenuse is 16.97 or 17 if you want to round it.

You might be interested in

How many distinguishable 7 letter "words" can be formed using the letters in alabamaalabama?

otez555 [7]

<span>You are given the word alabama and you are asked to find how many distinguishable 7 letter "words" can be formed from it.

ALABAMA has seven letters so we will start at 7!
Counting the number of A's in the word we have 4 A's and so we will divide it by 4!
</span>Counting the number of L's in the word we have 1 L and so we will divide it by 1!
Counting the number of B's in the word we have 1 B and so we will divide it by 1!
Counting the number of M's in the word we have 1 M and so we will divide it by 1!

And so the number of ways is 7! / (4! x 1! x 1! x 1!) = 210 words.

3 0

4 years ago

1/2 divided by n = 1/8

Leto [7]

1/2 divide by 4/1 = 1/8
when u divide u flip the second fraction around and multiply
1/2 x 1/4 = 1/8

3 0

3 years ago

The mean age of 5 people in a room is 36 years. A person enters the room. The mean age is now 39. What is the age of the person

____ [38]

Your answer is 36.5. Hope this helps!

7 0

3 years ago

What are the coordinates of the vertices of the triangle under the translation (x y) (x − 1 y − 3)

Vsevolod [243]

Answer:

A: (-9,-3)(-2,-4)(-5,-8)

B: (-5,2)(-1,-3)(3,2)

C: (4,-7)(-1,-3)(4,1)

D: (-1,-11)(-2,-4)(-6,-7)

Step-by-step explanation:

So of the transformations, translations are pretty much the easiest. x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3. So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.

(-8,0) => (-8-1, 0-3) = (-9,-3)

I do recommend double checking though, for practice and in case I flubbed a calculation.

7 0

3 years ago

I need to figure this out cause idk.

jeka57 [31]

Since she flipped the coin 20 times and got 4 heads and 6 tails, you put it as a fraction. So, it's 4/16 if you simplify 4 over 16 you get 1/4. You get this by dividing by 4 both numbers.

6 0

3 years ago