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
Step-by-step explanation:
I don't understand what u mean
Answer:
17.46 or 1170/67
Step-by-step explanation:
Since you can't have a decimal denominator, just multiply it by 10 to make it a whole number.
Answer:
correct answer to the question is option B
Step-by-step explanation:
as 3 raise to the power 4 equal to 3 raise to power 3 and 3 get cancel and the answer is
Answer:
Step-by-step explanation:
a. The older one is, the higher their salary, with a couple of rare exceptions.
b. See attached figure
c. Salary of L60,000/year.
d. Age of 35 to earn L40,000/yr