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weqwewe [10]
3 years ago
10

The hypotenuse in a right triangle is 13 cm. Of the other two sides one is 7 cm longer than the other determine the lengths of t

hose two sides

Mathematics
1 answer:
slamgirl [31]3 years ago
8 0

Assuming x represents the length of the first side.

Use pythagorean theorem to solve:

<span>a^2</span> + <span>b^2</span> = <span>c^2</span>

<span>x^2</span> + <span><span>(x+7)^</span>2</span> = <span>13^2</span>

<span>x^2</span> + <span><span>x^2</span>+14x+49</span> = 169

<span>2<span>x^2</span></span> + 14x - 120 = 0

Solve the quadratic equation using the quadratic formula.

At the end, you will get side lengths of #(-14 ± 34) / 4, or -12 and 5

SInce a negative triangle length is impossible, 5 is the value of x and 5 + 7 is the value of x + 7, which makes 12.

The formula for area of a right triangle is A = <span>b<span>h/2</span></span>

A = <span><span>b<span>(h)</span></span>2</span>

A= <span><span>12<span>(5)</span></span>2</span>

A = <span>30c<span>m^<span>2</span></span></span>

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

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.

a + b > c       &       a + c > b        &        b + c > a

23 + 28 = 51 which is NOT greater than 55

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8 + 17 = 25 which is NOT greater than 25

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all combinations are true so these side lengths can form a triangle

7 0
3 years ago
Degree 3 polynomial with zeros 4, 6, and -2.
hjlf

Answer:

Step-by-step explanation:

hello :

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bezimeni [28]
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What is the length of the missing leg
Shtirlitz [24]

Answer:

12

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

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ValentinkaMS [17]

By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)

<h3>How many more distance does the average race car travels than the average consumer car?</h3>

In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:

s' = (v' - v) · t

Where:

  • v' - Speed of the average race car, in miles per hour.
  • v - Speed of the average consumer car, in miles per hour.
  • t - Time, in hours.

Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:

s' = (210 - 120) · (30 / 3600)

s' = 3 / 4 mi

The distance surplus of the average race car is equal to 3 / 4 miles.

To learn more on uniform rectilinear motion: brainly.com/question/10153269

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