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Softa [21]
4 years ago
6

How to determine the longest side of a triangle

Mathematics
1 answer:
Temka [501]4 years ago
4 0
1- Learn the Pythagorean theorem. The Pythagorean theorem describes the relationship between the sides of a right triangle. He states that for any triangle rectangle with sides of length a and b, and hypotenuse of length c, a2 + b2 = c2.

2- First: make sure it's even a rectangle triangle. The Pythagorean theorem only has an effect on triangle rectangles, and by definition, only rectangular triangles have a hypotenuse. If your triangle has an angle with exactly 90 degrees, it is a right triangle, and you can continue.
Straight angles are often noticed in textbooks and academic proofs with a small square at the corner of the angle. This special mark represents the indication "90 degrees".

3- Set the variables a, b, and c to the sides of the triangle. The variable "c" will always represent the hypotenuse, or the side of greater extension. Choose one of the other sides to be a and give the other the denomination b (the order is irrelevant because the result will be the same). Next, enter the lengths of a and b in the formula, according to the following example:
If your triangle has sides of lengths 3 and 4, and you have defined letters to these sides, such as a = 3 and b = 4, you can write the equation as follows: 32 + 42 = c2
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Find the value of p and q
Ira Lisetskai [31]

Answer:

The answer to your question is p =  27.7      q = 29

Step-by-step explanation:

Process

1.- Calculate the value of all the angles of the triangle

The angle of 50° and the one to the right are supplementary

                                   x + 50 = 180

                                   x = 130°

- The sum of the internal angles in a triangle equals 180°

                     30° + y + 130° = 180

                              y = 180 - 130 - 30

                              y = 180 - 160

                              y = 20°

- The angle of the right triangle

                     50 + 90 + z = 180

                              z = 180 - 90 - 50

                              z = 40°

If sum up the superior angles 20 + 40 = 60°, then the biggest triangle is a 30-60-90

2.- Calculate q using the trigonometric function tangent

                        tan Ф = q / 55

solve for q

                        q = 55 tan 30

                         q = 28.9 ≈ 29

3.-  Calculate the hypotenuse of the biggest triangle

                       h² = 55² + 29²

                       h² = 3866

                       h = 62,12

4.- Use law of sines to find p

                     \frac{p}{sin 20} = \frac{62.12}{sin 130}

solve for p

                       p = \frac{62.12 sin 20}{sin 130}

                       p = 27.74                        

5 0
4 years ago
Read 2 more answers
Halla tres enteros pares consecutivos tales que 6 veces el primer entero sea 26 más que la suma del segundo y tercer enteros.
RideAnS [48]

The consecutive even integers are 8, 10 and 12.

<h3>How to calculate the value?</h3>

Let the integers be x, x + 2, and x + 4.

Therefore, the equation will be:

6(x) = x + 2 + x + 4 + 26

6x = 2x + 32

Collect like term

6x - 2x = 32

4x = 32

Divide

x = 32/4.

x = 8

The numbers are 8, 10 and 12.

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

3 0
2 years ago
Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowa
maw [93]
PART A
Coefficient
Coefficient h is 7.50
Coefficient s is 0.20

Variable
h and s

Constant
40

PART B
7.50h + 0.20s + 40
= 7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
= 287.5
She earns $287.5

PART C
Yes, the coefficient of h would change to 9, the rests are still the same. Because she's no longer receive 7.50 per hour, and start earning 9 per hour, so the coefficient should change.
The expression would be
9h + 0.20s + 40
4 0
3 years ago
Workers have packed 1,400 glasses in 7 boxes. If they pack 3 more boxes, how many glasses will they have packed in all?
11111nata11111 [884]

1box = 1400/7 = 200

200×3=600

1400+600=2000

8 0
4 years ago
Read 2 more answers
Describe the relationship between quartiles and percentiles.
Whitepunk [10]
Hello! quartiles divide data into fourths, and percentiles divide data into hundredths! hope this helps! ;)
5 0
3 years ago
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