Answer:
Step-by-step explanation:
13). Area of a square = (Side)²
= (BC)²
Since, diagonals of a square bisect each other at 90°,
ΔBOC is a right triangle.
By applying Pythagoras theorem in the given triangle,
BC² = OB² + OC²
BC² = 2(OB)²
BC² = 2(7√2)²
BC = 
Area of square ABCD = (BC)²
= (√196)²
= 196 units²
14). Measure of interior angles of the regular hexagon = 120°
Area of the regular hexagon = 
From the given picture,
m∠BAC = m∠ABC = m∠ACB = 60°
Therefore, ΔABC is an isosceles triangle.
And all sides of this triangle will be equal in measure.
AB = AC = BC = 9 units
Area of the given regular hexagon = 
= 210.44 square units
≈ 210.4 square units
Area of rhombus = 
where x and y are diagonals.
Given length of one diagonal is 4.5 dm
So, let x= 4.5dm
1 dm = 10 cm
4.5dm= 45cm
area = 
so, 
y = 24 cm
The two diagonals are x= 45cm and y = 24cm
Since diagonals bisect each other, we get 22.5cm and 12cm
Using right triangle formula



r = 10.588cm
Distance of center to the side =
= 5.294 cm
Answer:
14.
Step-by-step explanation:
All of the data can be included of a range from 73 - 91. They are all close in value. However, 14 is much less than the rest of the data, and is therefore an outlier.
Answer:
Here is another one solved.