Answer:20+4√17
Step-by-step explanation:
2 of 3 sides are 16 and 4 units . The angle between them is 90 degrees.
So we can find the length of the third side using Pitagor theorem.
c= SQRT( 16²+4²)= sqrt (256+16)= sqrt (272)
So the perimeter of the shaded triangle is equal to
P= 4+16+sqrt(272)=20+4√17
The radical expressions for the perimeter of the shaded triangle is 20 + 4√17
In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a rectangle shown in the picture with dimensions.
Using Pythagoras theorem;
The inclined length = √(4²+16²) = √272 = 4√17
The perimeter of the shaded region = 16 + 4 + 4√17
Perimeter = 20 + 4√17
Thus, the radical expressions for the perimeter of the shaded triangle is 20 + 4√17
Learn more about the triangle here:
brainly.com/question/25813512
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