Question

The diagonal AC of a rectangular-shaped park ABCD is 2.5 miles long and the side AB is 0.75 miles long. How long is the width BC

Answer 1

Answer:

2.38 miles

Step-by-step explanation:

Given a rectangular shaped park ABCD.

Length of diagonal, AC = 2.5 miles

Length of side AB = 0.75 miles

To find the length of side BC.

We know that,

All the angles of a rectangle are 90°.

Therefore, we have,

AB, BC and AC forms a right angled triangle.

Now, we know that,

By pythagoras theorem, we have,

=> (AB)^2 + (BC)^2 = (AC)^2

Substituting the values, we get,

=> (0.75)^2 + (BC)^2 = (2.5)^2

=> (BC)^2 = (2.5)^2 - (0.75)^2

=> (BC)^2 = 6.25 - 0.5625

=> (BC)^2 = 5.6875

=> BC = √5.6875

=> BC = 2.38

Hence, the length of side BC is 2.38 miles.