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ExtremeBDS [4]
3 years ago
6

Which of these four sets of side lengths will form a right triangle?

Mathematics
2 answers:
ehidna [41]3 years ago
8 0

Answer:

Set 4

Step-by-step explanation:

Set 4 will form a right triangle

Natalija [7]3 years ago
3 0

Answer:

Set 4: 12 ft, 16 ft, 20 ft

Step-by-step explanation:

A right angle triangle is a triangle in which one of the angles is a right angle (i.e 90°). The side opposite to the right angle is the longest side and is called the hypotenuse. The Pythagoras theorem for a right angle triangle states the the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

For set 1:

4² + 5² = 16 + 25 = 41

6² = 36

6² ≠ 4² + 5²

It does not form a right triangle

For set 2:

8² + 12² = 64 + 144 = 208

20² = 400

20² ≠ 8² + 12²

It does not form a right triangle

For set 3:

10² + 20² = 100 + 400 = 500

30² = 900

30² ≠ 10² + 20²

It does not form a right triangle

For set 3:

12² + 16² = 144 + 256 = 400

20² = 400

20² = 12² + 16²

It forms a right triangle

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sertanlavr [38]

Answer:

The probability of getting someone in the 18-21 age bracket or someone who agreed to respond = 0.365

Step-by-step explanation:

The counts are as follows  

Age Group  No of people contacted No of refusals      Total  

18-21               88                                  8                       96

22-29              240                                  42                       282

Total              328                                  50                       378

 

The probability of getting some one in the age bracket of 18-21 or some one who refused to respond is

= \frac{96}{378} + \frac{50}{378} - \frac{8}{378} \\= \frac{96+50-8}{378} \\= \frac{138}{378} \\= 0.365

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A shooting star forms a right triangle with the Earth and the Sun, as shown below:
frez [133]

The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given

Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known

Here, if we use cos x = \frac{Base}{Hypotenuse} we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star

Note: cos values for each x are definite.

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Heather runs 7 miles in 80 minutes.

At the same rate, how many miles would she run in 64 minutes?

Let x represent miles would she run in 64 minutes?

Question Sets Up the Proportion

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