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
SSSSS [86.1K]
3 years ago
15

The length of the hypotenuse of a right triangle is 16 inches. If the length of one leg is 5 inches, what is the approximate len

gth of the other leg? 10.5 inches 11.0 inches 15.2 inches 16.8 inches

History
1 answer:
Reptile [31]3 years ago
3 0

Answer:

<h3>\boxed{15.2\: \:  inches}</h3>

Explanation:

Hypotenuse ( h ) = 16 inches

base ( b ) = 5 inches

perpendicular ( p ) = ?

Now, Using the Pythagoras theorem

\mathsf{{h}^{2}  =  {p}^{2}  +  {b}^{2} }

\mathsf{ {p}^{2}  =  {h}^{2}  -  {b}^{2} }

plug the values

\mathsf{ {p}^{2}  =  {16}^{2}  -  {5}^{2} }

Evaluate the power

\mathsf{ {p}^{2}  = 256 - 25}

Add the numbers

\mathsf{ {p}^{2}  = 231}

Squaring on both sides

\mathsf{ p = 15.19}

( Approximately 15.2) inches

Extra information

<u>Pythagoras</u><u> </u><u>Theorem</u>

The adjoining triangle is a right angled triangle ABC right angled at B. The side AC opposite to the right angle is called it's hypotenuse. Similarly, the sides AB and BC are called the perpendicular and the base respectively.

Pythagoras was a Greek Mathematician who loved around 500 B.C. and discovered a significant fact about right - angled triangles known as 'Pythagoras Theorem' .

The square of the hypotenuse of a right -angled triangle is equal to the sum of the squares of the remaining two sides.

( See attached picture )

Hope I helped!

Best regards!

You might be interested in
Explain the techniques the Assyrians used to conquer and what led to the rise and fall of the Assyrian Empire
Basile [38]

Answer:

The Assyrians had a number of tactics for taking enemy cities by siege, including the use of battering rams, siege towers, and teams of sappers digging under the enemy walls to make them collapse

Explanation:

4 0
2 years ago
How does Truman describe the Japanese
mash [69]

He simpily refers to them as the  country of the rising sun.

HOPE THIS HELPS

4 0
3 years ago
Andersonville Prison, officially known as Camp Sumter, was a Confederate prison (POW camp) in Georgia that was built to house a
Anna71 [15]

Answer:

Explanation:

Andersonville Prison, officially known as Camp Sumter, was a Confederate prison (POW camp) in Georgia that was built to house a large number of Union prisoners concentrated in and around Richmond, Virginia. Andersonville had no access to supplies. It was chosen because it was far inland and was a safe distance from raids from the North. Andersonville Prison was the largest Confederate prison and was known for its unhealthy conditions and high death rate of Union soldiers. What is an ironic conclusion that can be drawn about Andersonville Prison?

The ironic that can be deducted from Andersonville Prison is that Confederacy who built the camp could afford to move a large number of prisoners hundreds of miles to Andersonville Prison but  yet they could not afford to feed and house the prisoners.

6 0
3 years ago
I don't want anyone to actually do the assignment for me, I'd just like some helpful resources for research and maybe some point
Ket [755]

Answer:

you can use history.com or britannica.com i use those websites when doing social studies as well. or you can use lumenlearning.com

Explanation:

hope this helps :)

5 0
3 years ago
How did the second industrial revolution shape urban life ?
Alenkasestr [34]

With the influx of people to urban centers came the increasingly obvious problem of city layouts. The crowded streets which were, in some cases, the same paths as had been "naturally selected" by wandering cows in the past were barely passing for the streets of a quarter million commuters. In 1853, Napoleon III named Georges Haussmann "prefect of the Seine," and put him in charge of redeveloping Paris' woefully inadequate infrastructure (Kagan, The Western Heritage Vol. II, pp. 564-565). This was the first and biggest example of city planning to fulfill industrial needs that existed in Western Europe. Paris' narrow alleys and apparently random placement of intersections were transformed into wide streets and curving turnabouts that freed up congestion and aided in public transportation for the scientists and workers of the time. Man was no longer dependent on the natural layout of cities; form was beginning to follow function. Suburbs, for example, were springing up around major cities

7 0
3 years ago
Other questions:
  • Why would the slavers feed and clean the slaves before the slaves were put on an auction book
    11·1 answer
  • Which of the following played a key role in starting the process of the Equal Pay Act?
    13·2 answers
  • History Question 10 pts.
    10·1 answer
  • Who was the first president?
    8·2 answers
  • I need to know what the answer for number 3
    8·2 answers
  • Who took Fort Detroit from the British?
    14·2 answers
  • 1. Describe trade during the<br> Gupta empire.
    15·1 answer
  • Evaluate Ulysses as a leader and a captain. Do you think he was a good leader? In 5-6 sentences explain why or why not:
    14·1 answer
  • How much of a(n) 90% orange juice drink must be mixed with 4 gallons of a 40% orange juice drink to obtain a mixture that is 50%
    13·1 answer
  • The build-up of the us military in 1916 was an example of
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!