Question

In a parallelogram the length of two sides
and one diagonal are 7 cm, root of \sqrt{23}
23
cm and
6 cm respectively. Find the length of the
other diagonal.
$\sqrt{23}$
​

Answer 1

Answer:

Explanation:

To answer this question, we must find the diagonal of a rectangle that is 8ft by 6ft. Because a rectangle is made up of right angles, the diagonal of a rectangle creates a right triangle with two of the sides.

Because a right triangle is formed by the diagonal, we can use the Pythagorean Theorem, which is:

a2+b2=c2

a and b each represent a different leg of the triangle and c represents the length of the hypotenuse, which in this case is the same as the diagonal length.

We can then plug in our known values and solve for c2

a2+b2=c2→82+62=c2→64+36=c2→100=c2

We now must take the square root of each side so that we can solve for c

100−−−√=c2−−√→10=c

Therefore, the diagonal of the rectangle is 10ft.