If each side of triangle ABC is of length 4 and if AD is 1 cm andED AB. What is area of region BCED :
Question
If each side of triangle ABC is of length 4 and if AD is 1 cm and ED ⊥ AB. What is the area of region BCED?
Solution
To find the area of region BCED, we can use the formula for the area of a triangle.
First, let's draw triangle ABC with sides of length 4.
Next, we draw a perpendicular line from point D to side AB, and label the point of intersection as E.
Since AD is given as 1 cm, we can label that on the diagram.
Now, we have a right triangle ADE with a base of 1 cm and a height of 4 cm.
To find the area of this triangle, we can use the formula:
Area = (base * height) / 2
Plugging in the values, we get:
Area = (1 cm * 4 cm) / 2
Area = 4 cm² / 2
Area = 2 cm²
Therefore, the area of region BCED is 2 cm².
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