Mathematics, 15.07.2019 19:10 swtnru4509

Which real-world scenario involves a right triangle?
o a triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inches
1)a triangular bike path with lengths of 5 miles, 12 miles, and 13 miles
2)a triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yards
3)a triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet

Answers: 1

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Answer from: drodriguez2324

1) a triangular bike path with lengths of 5 miles, 12 miles, and 13 miles

Step-by-step explanation:

we know that

A right triangle must satisfy Pythagoras' theorem.

$c^{2}=a^{2} +b^{2}$

where

c is the greater side

Verify each case

case 0) a triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inches

Let

$a=6\ in$

$b=8\ in$

$c=12\ in$

substitute

$12^{2}=6^{2} +8^{2}$

144=100 ----> is not true

therefore

This scenario not involves a right triangle

case 1) a triangular bike path with lengths of 5 miles, 12 miles, and 13 miles

Let

$a=5\ mi$

$b=12\ mi$

$c=13\ mi$

substitute

$13^{2}=5^{2} +12^{2}$

169=169 ----> is true

therefore

This scenario involves a right triangle

case 2) a triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yards

Let

$a=10\ yd$

$b=10\ yd$

$c=15\ yd$

substitute

$15^{2}=10^{2} +10^{2}$

225=200 ----> is not true

therefore

This scenario not involves a right triangle

case 3) a triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet

Let

$a=3\ ft$

$b=3\ ft$

$c=3\ ft$

This is an equilateral triangle (has the three equal sides)

we know that

An equilateral triangle cannot be a right triangle.

therefore

This scenario not involves a right triangle

Answer from: Quest

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

first prerecorded video to carry an advertiser's plug, but it was the

first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

are based on an exchange rate of

$1.68 to the pound sterling.)

cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

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Which real-world scenario involves a right triangle?
o a triangular bathroom tile with side l...

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