Question

If a rectangle measures 30 meters by 40 meters, what is the length ,in meters,of the diagonal of the rectangle?

Answer 1

Answer:

Diagonal of the rectangle =$50 m$

Step-by-step explanation:

The length of the diagonal of rectangle can be find by using the Pythagoras theorem as it cuts the rectangle into two equal Right angled triangles,

Given: The length and width of the rectangle are given i.e 40 m and 30 m

According to Pythagorean theorem:

             $(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

The diagonal of the rectangle becomes the hypotenuse, length becomes perpendicular and width becomes base of the triangle.

$(Diagonal)^2=(Length)^2+(Width)^2$

                   $(Diagonal)^2=40^2+30^2\\ =1600+900\\ =2500\\Diagonal=\sqrt{2500} \\Diagonal=50 m$

So, the length of the diagonal of the rectangle is $50 m$