Answer:
See proof
Step-by-step explanation:
Statements Reasons
1. bisects
Given
2. Definition of angle bisector
3. Reflexive property of equality
4. AAS postulate
5. Congruent triangles have congruent corresponding sides
6. Reflexive property of equality
7. SAS postulate
8. Congruent triangles have congruent corresponding sides
Answer:
<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>
<em></em>
Step-by-step explanation:
The image is attached below
For the triangular sides of the roof, area is
A =
where b is the base = 4 ft
h is the vertical height = 2.24 ft
A = 4.48 ft^2
for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>
For the rectangular sections of the roof, area is
A =
where is the length of the rectangle = 5 ft
h is the height of the rectangle = 3 ft
A = 5 x 3 = 15 ft^2
For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>
<em></em>
For the bottom face, area is
A =
where is the length of the house = 5 ft
w is the width of the house = 4 ft
A = 5 x 4 = <em>20 ft^2</em>
<em></em>
Surface area of the roof of the dog kennel is
<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>
