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2 years ago

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.

Mathematics

1 answer:

shepuryov [24]2 years ago

7 0

The smallest possible whole-number length of the unknown side is 17 inches.

<h3>What is the Pythagoras theorem?</h3>

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

From the information given, the sides of an obtuse triangle measure 9 inches and 14 inches.

Therefore, the third side will be:

c² = 9² + 14²

c² = 81 + 196

c² = 277

c = ✓277

c = 16.64

c = 17

Hence, the smallest possible whole-number length of the unknown side is 17 inches.

Learn more about triangles on:

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Mr Binnix wife is older than her sister by 2 years if their ages add up to 52 how old is each sister? Let c represent Leigh Ann’

Mazyrski [523]

Answer:

the older sister is 27 and the younger is 25.

Step-by-step explanation:

C+2=Y

C+Y=52

2C+2=52

2C=50

C=25

25+2=Y

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3 years ago

Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

inna [77]

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3><u>Solution:</u></h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

<em><u>The perimeter of square is given as:</u></em>

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

<em><u>Are the perimeter of the square and the length of its side directly proportional quantities?</u></em>

$\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}$

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

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3 years ago

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3 years ago

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3 years ago

Read 2 more answers

What is an equation of the line that passes through the points ( 0,-7) and ( 5, -1)

tresset_1 [31]

Answer:

y = 5/6x - 5.167

y = 5/6x - 31/6

Step-by-step explanation:

The equation of a line

y = mx + c

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given points

( 0 , -7) ( 5 , -1)

x1 = 0

y1 = -7

x2 = 5

y2 = -1

Insert the values into the equation

m = -1 - (-7) / 5 - 0

m = -1 + 7 / 5

m = 6/5

y = 6/5x + c

Step 2: sub any of the two points given into the equation

y = 5/6x + c

( 5 , -1)

x = 5

y = -1

-1 = 5/6(5) + c

-1 = 5*5/6 + c

-1 = 25/6 + c.

c = -1 - 25/6

LCM = 6

c = -6 - 25 / 6

c = -31/6

c = -5.167

Step 3: sub c into the equation

y = 5/6x + c

y = 5/6x - 31/6

y = 5/6x - 5.167

The equation of the line is

y = 5/6x - 5.167

7 0

3 years ago