History, 12.08.2020 06:01 portedon6626

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

Answers: 1

Show answers

Answers

Answer from: VgCarlos2596

$\boxed{15.2\: \: inches}$

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

Pythagoras Theorem

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!

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

Answer from: Quest

the correct answer is "c: merchants" and "e. soldiers".

the song dynasty was known as the first government in the world to introduce paper currency. it was also the first chinese government which established a permanent standing navy. finally, the first compass was introduced during this period of government.

all of these innovations heavily affected commerce in a positive way. printed money dynamize commerce within the borders of the empire due to an easier way to quantify value during the trade. the introduction of the compass trade routes to be faster. finally, the introduction of a standing navy regulate trade routes.

regarding military affairs, gunpowder was created during this period. this was a tremendous improvement that was widely utilized by the military in order to innovate in the manufacturing of weapons.

Answer from: Quest

answer: which of the following best describes greek tragedy?

a) it was lighthearted and included songs and elaborate costumes.

b) the plays included political statement that mocked leaders and their policies.

c) the lead character suffers because of personal flaw.

d) the gods intervene negatively in the lives of men.

the answer would be d

explanation:

Another question on History

History, 21.06.2019 17:00

List factors that contributed to public confidence in the postwar united states

Answers: 2

Answer

History, 21.06.2019 22:00

During world war ll, which was an axis nation ? china hong kong japan the philippines

Answers: 2

Answer

History, 22.06.2019 02:30

Describe two observations that galileo was the first to make with his telescope.

Answers: 1

Answer

History, 22.06.2019 03:30

What were copernicus’s ideas about the order of the universe deemed to be dangerous to church thinking? (5 points) a.the church was invested in the idea that the earth was at the center of the universe b.copernicus was developing a new religion that would challenge the church c.the church feared his ideas threatened their control of european universities d.copernicus was a follower of luther and therefore could not be trusted

Answers: 1

Answer

You know the right answer?

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

Questions

History, 12.10.2020 14:01

What realm of science were the Mayans "masters" of? What evidence do we have that shows proof of that?...