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frutty [35]
3 years ago
15

The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse

Mathematics
2 answers:
miss Akunina [59]3 years ago
5 0

<u>Answer:</u>

5.65 cm

<u>Step-by-step explanation:</u>

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

a ^ 2 = b ^ 2 + c ^ 2

where a is the hypotenuse.

a ^ 2 = 4 ^ 2 + 4 ^ 2

\sqrt { a ^ 2} = \sqrt { 3 2 }

a = 5 . 6 5

Therefore, the length of the hypotenuse is 5.65 cm.

Black_prince [1.1K]3 years ago
4 0

Answer:

hypotenuse = 4√2

Step-by-step explanation:

It is given that, the  length of each leg of an isosceles right triangle is 4 cm

<u>To find the hypotenuse</u>

From the given information we get the given triangle is a right triangle with angles 45°, 45° and 90°

Therefore the side are in the ration 1 : 1 : √2

Here two legs are give

leg1 : leg2 : hypotenuse = 4 : 4 : 4√2

Therefore hypotenuse = 4√2

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Mumz [18]

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= ³√4a⁶ - 2/a-³ - (a²)3/2

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8 0
3 years ago
Help plz i dont undertand
lora16 [44]

Answers:

  • x = 4
  • AB = 36
  • BC = 36
  • AC = 36

All three sides are 36 units long.

===========================================================

Explanation:

Triangle ABC is equilateral, so all three sides are the same length.

Pick any two of those sides, set them equal to each other, and solve for x

AB = BC

8x+4 = 11x-8

8x-11x = -8-4

-3x = -12

x = -12/(-3)

x = 4

Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).

  • AB = 8x+4 = 8*4+4 = 32+4 = 36
  • BC = 11x-8 = 11*4-8 = 44-8 = 36
  • AC = 9x = 9*4 = 36

We get the same value for the three side lengths, so this confirms we have the correct x value.

7 0
3 years ago
What is 3 multiplied by 3/8 as a mixed number
krek1111 [17]

Answer:

1 and 1/8

Step-by-step explanation:

The number 1.125 can be writen using the fraction 1125/1000 which is equal to 9/8 when reduced to lowest terms.

It is also equal to 1 1/8 when writen as a mixed number.

You can use the following approximate value(s) for this number:

1.125 =~ 1 (if you admit a error of -11.111111%)

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3 years ago
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Tresset [83]
A) ...,1,1/2,1/4,1/8,...
7 0
3 years ago
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