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3 years ago

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

Mathematics

1 answer:

TEA [102]3 years ago

5 0

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 $50 m\\$

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