Question

using the Pythagoras rule. A rectangular hockey field is 50m long and 35m wide calculate the length of it's diagonal​

Answer 1

Explanation:

a squared +b squared= c squared

where c is the hypotenuse

35^2+50^2=c^2

1225+2500=c^2

3725=c^2

c^2=61.0328

Answer 2

`\huge\boxed{The\ length\ of\ Diagonal = 61 \ m}`

Explanation:

Length = 50 m

Width = 35 m

Using Pythagorean Theorem:

`c^2 = a^2 + b^2`

Where c = diagonal , a = length (50 m) and b = width (35 m)

=>
`c^2 = 50^2+35^2`

=>
`c^2 = 2500 + 1225`

=>
`c^2 = 3725`

Taking sqrt on both sides

=> c = 61 m

The length of Diagonal = 61 m.