Answer:
The height of rectangle is 5 inches
Step-by-step explanation:
<u><em>The correct question is</em></u>
A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height
Let
x -----> the width of the rectangle in inches
y ----> the height of the rectangle in inches
d ---> diagonal measurement of the rectangle in inches
we know that
Applying the Pythagorean Theorem
we have
so
----> equation A
---> equation B
substitute equation B in equation A
solve for y
solve the quadratic equation by graphing
using a graphing tool
The solution is y=5
see the attached figure
therefore
The height of rectangle is 5 inches
