Question

Middletown Street and Kensington Avenue intersect. If Middletown Street is 5.2 meters wide and Kensington Avenue is 7.6 meters wide, what is the distance between two opposite corners of the intersection? If necessary, round to the nearest tenth.

Answer 1

To determine the distance between two opposite corners of the intersection, we use the Pythagorean theorem. After calculating the squares of the widths of Middletown Street and Kensington Avenue, we find that the hypotenuse, or the distance between corners, is approximately 9.2 meters.

Step-by-step explanation:

To find the distance between two opposite corners of the intersection of Middletown Street and Kensington Avenue, we should use the Pythagorean theorem. We treat the width of the streets as the lengths of two perpendicular sides of a right-angled triangle and the distance between the two opposite corners as the hypotenuse.

The formula for the Pythagorean theorem is a² + b² = c², where 'a' and 'b' are the lengths of the two legs of the triangle, and 'c' is the length of the hypotenuse.

Let's plug in the given values:

• a (width of Middletown Street) = 5.2 meters
• b (width of Kensington Avenue) = 7.6 meters

Then, using the Pythagorean theorem:

(5.2m)² + (7.6m)² = c²

27.04m² + 57.76m² = c²

84.8m² = c²

c = √(84.8m²)

c ≈ 9.2 meters (after rounding to the nearest tenth)

So, the distance between the two opposite corners of the intersection is approximately 9.2 meters.

Answer 2

Answer: The distance between two opposite corners of the intersection is 9.2 meters.

Step-by-step explanation:

Since we have given that

Width of the Middletown Street = 5.2 m

Width of Kensington Street = 7.6 m

When they intersect each other then we have to find the distance between two opposite corners of the intersection,

Since they formed a right angled triangle shown in the figure below:

So, we can apply "Pythagorus Theorem"

`H^2=B^2+P^2\\\\H^2=5.2^2+7.6^2\\\\H^2=27.04+57.76\\\\H^2=84.8\\\\H=√(84.8)\\\\H=9.2\ m`

Hence, the distance between two opposite corners of the intersection is 9.2 meters.