1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
son4ous [18]
3 years ago
7

Which is the length of the hypotenuse for a right triangle with leg a = 8 and leg b = 15 cm?

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

\huge{ \boxed{ \tt{17 \: cm}}}

Option D is the correct choice.

☪ First , Let's know about right triangle , legs and hypotenuse :

  • A right triangle is a triangle with an angle of 90°.
  • The two sides that form the right angle are called legs.
  • The opposite side of right angle is the hypotenuse.

☥ Let's explore about The Pythagorean Theorem :

  • Pythagoras was one of the first mathematician to recognize the relationship between the sides of a right triangle. This special relationship forms ' The Pythagorean Theorem '.
  • The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of the length of a hypotenuse.
  • In algebraic terms , The Pythagorean Theorem is stated as : \boxed{ \sf{ {a}^{2}  +  {b}^{2} =  {c}^{2} }}

------------------------------------------------------------

☯ Now , let's start to solve :

✑ \underline{ \underline{ \text{Given}}} :

  • a = 8 cm , b = 15 cm

✑ \underline{ \underline{ \text{To\: Find}}} :

  • Length of a hypotenuse ( c )

✐ \underline{ \bold{ \underline{Using \: Pythagorean \: Theorem}}} \: :

☞ \boxed{ \bold{ \sf{ {a}^{2}  +  {b}^{2} =  {c}^{2}  }}}

Substitute the known values :

↦ \sf{ {8}^{2}  +  {15}^{2}  =  {c}^{2}}

↦ \sf{64 + 225 =  {c}^{2} }

↦ \sf{289 =  {c}^{2} }

↦ \sf{ {c}^{2}  = 289 }

Take the square roots of both sides :

↦ \sf{ \sqrt{ {c}^{2} }  =  \sqrt{289}}

↦ \boxed{ \sf{c = 17 \: cm}}

The length of the hypotenuse is \boxed{ \bold{ \text{17 \: cm}}}.

And we're done!!

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

You might be interested in
A carnival costs $10.50 to enter plus an additional $3.50 per ticket rides and food.
Digiron [165]

Answer:

A:y=10.50+3.5x

B:80.5

8 0
3 years ago
Joseph owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 fo
Lilit [14]

Hot Dog Stand

Let

C--------> total cost of the hot dog

x-------> is the number of toppings

we know that

C=0.5x+1.5

where

The slope of the linear equation is equal to 0.5\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$1.5

That means -------> This is the cost of the hot dog without topping  

Hamburgers Stand

Let

C--------> total cost of the hamburger

x-------> is the number of toppings

we know that

C=0.25x+2.50

where

The slope of the linear equation is equal to 0.25\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$2.5

That means -------> This is the cost of the hamburger without topping

therefore

<u>the answer is</u>

The linear equation of the hamburger cost is equal to

C=0.25x+2.50


4 0
3 years ago
Read 2 more answers
Can someone help me please , this geometry
sashaice [31]

Answer:

x = HJ/5 + 3/5

HJ = 5x - 3 = 5 (11) - 3 = 55 - 3 = 52

JK = 8x - 9 = 8(11) - 9 = 88 - 9 = 79

5 0
2 years ago
PLEASE HELP ILL GIVE BRAINLIEST IF THE ANSWERS CORRECT
pickupchik [31]
The answer is 4 1/2 (four and a half).
5 0
2 years ago
Read 2 more answers
The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately 0.7. What is the probability
victus00 [196]

Answer: 0.2401

Step-by-step explanation:

The binomial distribution formula is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}

where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately: p =0.7.

Number of trials  : n= 4

Now, the required probability will be :

P(x=4)=^4C_4(0.7)^4(1-0.7)^{4-4}\\\\=(1)(0.7)^4(1)=0.2401

Thus, the probability that, in a randomly selected sample of four citizen-entities, all of them are of pension age =0.2401

5 0
3 years ago
Other questions:
  • The expression log 3 (x-4) is undefined for all values such that
    10·1 answer
  • Solve -x^2+5x-6=2 in quadratic formula
    8·1 answer
  • PLEASE HELP! I WILL GIVE BRAINLIEST
    8·2 answers
  • Express √-225 in its simplest terms
    15·2 answers
  • 3.006 rounded to the nearest tenth
    10·2 answers
  • Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t
    9·1 answer
  • What is 2/5 - 7/8 =​
    7·1 answer
  • Smallest to largest.
    14·1 answer
  • -8-575-78<br> How do I round my answer to the nearest ten thousandth
    8·1 answer
  • Rochelle can run 800 meters in 5 minut
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!