Question

What is the length of the diagonal from vertex J to vertex L in the quadrilateral below?

Answer 1

sqrt(170) or approximately 13.038

Explanation:

We can use the Pythagorean theorem to find the diagonal since the diagonal makes a right triangle

a^2 + b^2 = c^2

We need to find the leg lengths

ML = 7 and MJ = 11

7^2 + 11^2 = JL^2

49+ 121 = JL ^2

170 = JL ^2

Take the square root of each side

sqrt(170) = JL

13.038 = JL