What is the length of the diagonal from vertex J to vertex L in the quadrilateral below?
241123456
A. 315 units
B. v15 units
C. 5/3 units
D. 377 units

What is the length of the diagonal from vertex J to vertex L in the quadrilateral below 241123456 A 315 units B v15 units C 53 units D 377 units class=

Respuesta :

Length of diagonal JL is 3√5 units

Step-by-step explanation:

  • Step 1: Find the length of the diagonal JL using the Pythagoras Theorem.

Length of JM = 3 units

Length of ML = 6 units

⇒ JL² = JM² + ML²

          = 3² + 6² = 9 + 36 = 45

∴ JL = √45 = 3√5 units

Answer:

√113 units

Step-by-step explanation:

The diagonal of this quadrilateral will be the hypotenuse of a right triangle, as shown below.

The base of the triangle measures 7 units, and the height of the triangle measures 8 units. Use the Pythagorean theorem to find the length of the hypotenuse.

Therefore, the length of the diagonal of the quadrilateral measures √113 units.

Ver imagen Becky81