Answer:
360 degrees
60 degrees
150 degrees
90 degrees
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps!
The diagonals AC and EC of the pentagon forms two right triangles and
on isosceles triangle, together which gives the area of the pentagon.
Correct response:
- The area of the convex pentagon is <u>104 square units</u>.
<h3>Methods used to finding the area of a pentagon</h3>
The given parameters are;
AB = 5
BC = 12
AE = 13
DE = 8
CD = 6
m∠B = m∠D = 90°
Required:
The area of the convex pentagon ABCDE
Solution:
The area of pentagon ABCDE = Right ΔABC + Right ΔCDE + ΔACE
Area of right triangle ΔABC = × 5 × 12 = 30
Area of right triangle ΔCDE = × 6 × 8 = 24
Length of AC =
Which gives; AC = = 13
Length of EC =
Which gives; EC = = 10
Therefore, ΔACE is an isosceles triangle
Base of ΔACE = EC
Therefore;
Height of isosceles triangle ΔACE = = 12
Area of ΔACE = × 10 × 12 = 60
Therefore;
- Area of the convex pentagon ABCDE = 30 + 24 + 60 = <u>104</u>
Learn more about finding the area of geometric figures here:
brainly.com/question/2279661