If the perimeter of a square is 20, find the length of a diagonal
1 answer:
Answer:
7.07
Step-by-step explanation:
<h2><u>Length</u></h2>a square has equal length on each side
hence is the perimeter is 20 it means that :
each side is 20/4 = 5
we can make a diagonal line which create 3 right angled triangles
2 sides of the triangle are 5 , this is the base and the height
to find the length we can make use of the Pythagoras theorem
c^2 = a^2 + b^2
c is the hypotenuse ( the diagonal;)
a and b are the opposite and adjacent
hence :
c^2 = 5 ^2 + 5^2
c^2 = 50
c =
c = 7.071
to 3sf
<h3><u>diagonal length = 7.07</u></h3>You might be interested in
Given:
Length of the cuboid tank = 4 m
Breadth = 2.5 m
Height = 2.4 m
One third of the tank is filled with water.
1 cubic meter = 1000 liters.
To find:
The quantity of the water in the tank.
Solution:
Volume of a cuboid is:
Where, l is length, b is breadth and h is the height.
The volume of the tank is :
Volume of tank is 24 cubic meter.
One third of the tank is filled with water. So, the volume of the water is
The volume of water is 8 cubic meters.
We have,
1 cubic meter = 1000 liters.
8 cubic meter = 8000 liters.
Therefore, the quantity of the water in the tank is 8000 liters.