Question

a textbook has a length of 6 inches, a height of y inches, and a width of x inches. if the length of the diagonal of the front cover is 8 inches and the length of the diagonal of the width is 7 inches, find the values of x and y.

Answer 1

Part 1) The value of x is
`2√(7)\ in`

Part 2) The value of y is
`√(21)\ in`

Explanation:

Part 1

Find the value of x

Applying Pythagoras Theorem

`8^(2)=x^(2) +6^(2)`

`x^(2)=8^(2)-6^(2)`

`x^(2)=28`

`x=2√(7)\ in`

Part 2

Find the value of y

Applying Pythagoras Theorem

`7^(2)=x^(2) +y^(2)`

substitute the value of x

`7^(2)=28 +y^(2)`

`y^(2)=7^(2)-28`

`y^(2)=21`

`y=√(21)\ in`