Answer:
11
Step-by-step explanation:
The given shape is a right triangle, to find the value of x we can use Euclidian Theorem:
x^2 = 14*(14+4)
x^2 = 280 find the root for both sides
x = 11
The base of a regular pyramid is a hexagon.
1 answer:
Answer:
96 cm²
Step-by-step explanation:
A hexagon can be cut into 6 equilateral triangles.
Using the half shown in the diagram to calculate the apothem a , and the exact value
sin60° = , then
sin60° = =
=
( cross- multiply )
2a = 8 ( divide both sides by 2 )
a = 4 cm
The area (A) can be calculated using
A = pa ( p is the perimeter of the hexagon )
The sides of the hexagon measure 8 cm ( equilateral Δ has congruent sides )
p = 6 × 8 = 48 cm, so
A = × 48 × 4
= 96
cm²
You might be interested in
Answer:
w = 36 centimeters
y = 24 centimeters
Step-by-step explanation:
The exact question is as follows :
Given - Janelle drew KL in isosceles trapezoid FGHJ to create similar trapezoids FKLJ and KGHL.
To find - Based on the given information, what are the values of y and w in centimeters?
Solution -
We can see that from the diagram,
Trapezoid FKLJ is 3 times bigger than Trapezoid KGHL
So,
The side KL = 3 times side GH
⇒12 = 3×4
⇒12 = 12 centimeters
So,
side FJ = 3 times side KL
⇒w = 3×12
⇒w = 36 centimeters
Now,
The side KF = 3 times side KG
⇒KF = 3×8
⇒KF = 24
Now,
We know,
In isosceles trapezoid two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length
So,
Side LJ = side KF
⇒y = 24 centimeters
∴ we get
w = 36 centimeters
y = 24 centimeters
