The value of ED is 4 units in the diagram.
It is given that in the diagram m ∠B = m∠AED, AD = 8, AC = 22, and BC = 11.
It is required to find the ED.
What is the triangle?
The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have m ∠B = m∠AED both angles are equal.
And the m ∠A in the ΔADE and m ΔABC are the same.
By using the angle-angle similarity theorem ( ∵∠A=∠A)
[tex]\rm \frac{ED}{BC} = \frac{AD}{AC} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm ED = 4 \ unit[/tex]
Thus, the value of ED is 4 units in the diagram.
Learn more about the triangle here:
brainly.com/question/25813512
