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

Answer:

Part 1) The value of x is $2\sqrt{7}\ in$

Part 2) The value of y is $\sqrt{21}\ in$

Step-by-step explanation:

Part 1

Find the value of x

Applying Pythagoras Theorem

$8^{2}=x^{2} +6^{2}$

$x^{2}=8^{2}-6^{2}$

$x^{2}=28$

$x=2\sqrt{7}\ in$

Part 2

Find the value of y

Applying Pythagoras Theorem

$7^{2}=x^{2} +y^{2}$

substitute the value of x

$7^{2}=28 +y^{2}$

$y^{2}=7^{2}-28$

$y^{2}=21$

$y=\sqrt{21}\ in$