tashanicole
contestada

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.

Respuesta :

calculista

Answer:

Part 1) The value of x is [tex]2\sqrt{7}\ in[/tex]

Part 2) The value of y is [tex]\sqrt{21}\ in[/tex]

Step-by-step explanation:

Part 1

Find the value of x

Applying Pythagoras Theorem

[tex]8^{2}=x^{2} +6^{2}[/tex]

[tex]x^{2}=8^{2}-6^{2}[/tex]

[tex]x^{2}=28[/tex]

[tex]x=2\sqrt{7}\ in[/tex]

Part 2

Find the value of y

Applying Pythagoras Theorem

[tex]7^{2}=x^{2} +y^{2}[/tex]

substitute the value of x

[tex]7^{2}=28 +y^{2}[/tex]

[tex]y^{2}=7^{2}-28[/tex]

[tex]y^{2}=21[/tex]

[tex]y=\sqrt{21}\ in[/tex]

Otras preguntas