Question

A rectangle is eight inch long and its diagonal is ten inches. What's the width of the rectangle?

Answer 1

the answer is 6 inches

Explanation:

To find the diagonal we use the Pythagorean Theorem:

l² + w² = d² where the is d hypotenuse

8² + w² = 10²

64 + w² = 100

w² = 100 - 64

w² = 36

w = √36

w = 6

therefore the width of the rectangle is 6 inches

I hope this was helpful !!!!!!!!!

Answer 2

Diagonal =
`\sqrt{length^(2) + width^(2) }`

10 =
`\sqrt{8^(2) + width^(2) }`

10 =
`\sqrt{64 + width^(2) }`

100 = 64 +
`width^(2)`

`width^(2)\\` = 100 - 64

`width^(2)` = 36

width =
`√(36)`

width = 6 inches