Lets say that the length of a rectangle is 12 cm and the width is 5 cm, you would add 12+12+5+5 (as in the length on both length sides and the width on both sides) so the perimeter of this rectangle is: 34 cm
So lets ABCD are the sides of the square and AB=CD, AC=BD and the Angle ABC = 90 so therefore by making a diagonal we can use the SAS or SSS congruency for two triangles, so we can prove two triangles are equal and that is why the shape is square.
Answer:
<u>The storage unit is 20 feet long.</u>
Step-by-step explanation:
1. Let's use the Pythagorean Theorem to find the unknown side or length of the storage unit:
With the information given, we have a right triangle with 52 feet of hypotenuse and 48 feet as one of its sides and width of the storage unit.
Length of the storage unit ² = Hypotenuse ² - Width of the storage unit ²
Replacing with the real values:
Length of the storage unit ² = 52² - 48²
Length of the storage unit ² = 2,704 - 2,304
Length of the storage unit ² = 400
√Length of the storage unit ² = √400
<u>Length of the storage unit = 20 feet</u>
Answer:
see below
Step-by-step explanation:
a bearing is the angle in degrees measured clockwise from north.
Triangle ABC is a right triangle
Tan C = opp side / hyp
tan C = AB / CA
tan C = 30/30
tan C = 1
taking the inverse tan
tan ^ -1 tan C = tan ^ -1 ( 1)
C = 45 degrees
This is 90+45 degrees from North
135 degrees from north
Tan B = opp side / hyp
tan B = AD/BA
tan B = 45/30
tan B = 3/2
taking the inverse tan
tan ^ -1 tan B = tan ^ -1 ( 3/2)
D = 56.30993247
Add 180 degrees
180+56.30993247
236.3099325 from north
Answer:
The height of the prism is 2m
Step-by-step explanation:
Given;
The volume of pentagonal prism, V = 4.8 m^3
Area of the prism, A = 2.4 m^2
To determine the height of the prism, we consider the following;
Volume of any prism = Area of the prism x height of the prism
Height of the prism = volume of the prism / Area of the prism
Height of the prism = 4.8 / 2.4
Height of the prism = 2 m
Therefore, the height of the prism is 2m
