Answer:
Diagonal of the rectangle =[tex]50 m\\[/tex]
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:
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\[/tex]
The diagonal of the rectangle becomes the hypotenuse, length becomes perpendicular and width becomes base of the triangle.
[tex](Diagonal)^2=(Length)^2+(Width)^2[/tex]
[tex](Diagonal)^2=40^2+30^2\\ =1600+900\\ =2500\\Diagonal=\sqrt{2500} \\Diagonal=50 m[/tex]
So, the length of the diagonal of the rectangle is [tex]50 m\\[/tex]
