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

c. (3,2,6) is the answer.