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Olegator [25]
4 years ago
15

Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

Mathematics
2 answers:
vredina [299]4 years ago
7 0
Use the equation a2+b2=c2 the 2 is an exponent. the a and b are the side lengths. so plug everything in and you get 1)2+1)2=c2 and your answer would get you to 2=c2 then square root 2 or your answer would be 2 with the square root sign
stiks02 [169]4 years ago
6 0

check the picture below

and isosceles triangle, has two equal sides, thus, sides "a" and "b" for the triangle to be an isosceles, have to be equal

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miss Akunina [59]
So we are trying to find this red line's length.

We can either find it directly, or use the blue line firs, and then use it as a leg for the green triangle.

So the blue leg is a hypotenuse for two of the edges. So:

blue^2 = leg^2 + leg^2 from the Pythagorean Theorem
OR
blue =  \sqrt{leg^2 + leg^2}

Which works out to:

blue =  \sqrt{10^2 + 10^2} =  \sqrt{100+100} = \sqrt{200} =  \sqrt{(100)(2)}=10 \sqrt{2}

So now that we have that, using the Pythagorean Theorem again gives:

red =  \sqrt{blue^2 + 10^2} =  \sqrt{(10 \sqrt{2})^2+10^2}= \sqrt{200+100}= \sqrt{300}
\sqrt{300}= \sqrt{100*3}=10 \sqrt{3}

So the length of the red line is found that way.

But wait!  There's more!

As it turns out, the red line can be found with an easier way that works with cubes and boxes (cuboids). It's really easy:

a^2 + b^2+c^2=d^2

Where a, b, and c are all 10m, and d is the red line. This greatly reduces the math:

d =  \sqrt{10^2+10^2+10^2} = \sqrt{100+100+100} =  \sqrt{300}

which gives the same answer as above, which you can see.

3 0
3 years ago
A baseball player has a batting average of 0.250, which means he gets a hit 25% of the time he is at bat. If he bats 450 times d
UNO [17]

Answer:

112.5

Step-by-step explanation:

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8 0
3 years ago
What do the Nineteenth Amendment and the Indian Citizenship Act of 1924
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Answer:

D

Step-by-step explanation:

Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote

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3 years ago
Which choice is equivalent to the expression below ^-216​
Natali5045456 [20]

Answer:

B. 6i√6

General Formulas and Concepts:

<u>Algebra II</u>

  • Imaginary Numbers: √-1 = i

Step-by-step explanation:

<u>Step 1: Define expression</u>

√-216

<u>Step 2: Simplify</u>

  1. Factor:                     √-1 · √216
  2. Simplify:                   i · 6√6
  3. Multiply:                   6i√6
5 0
3 years ago
Read 2 more answers
Calculator
irina [24]

Answer:

61.27 cm

Step-by-step explanation:

refer to picture

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