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

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.

where

c is the greater side

so

Verify each case

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

Let

substitute

----> 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

substitute

----> 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

substitute

----> 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

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

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: