Given:
A regular polygon with three vertices and side 14 cm.
To find:
Area of the regular polygon.
Solution:
We know that, a regular polygon has equal sides and equal interior angles.
The given regular polygon has three equal sides, it means it is an equilateral triangle.
The area of an equilateral triangle is:

Where, a is the side length of the triangle.
Putting
, we get




Therefore, the area of given regular polygon is 84.9 cm².
Answer:
(2,6)
Step-by-step explanation:
y1 = y2
2x + 2 = - x + 8
2x + x = 8 - 2
3x = 6
x = 2
y1 = y2 = 6
The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
<em><u>Solution:</u></em>
Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin
<em><u>To find: height of each penguin</u></em>
From given question,
Let "e" be the height of emperor penguin
Let "g" be the height of galapagos penguin
Total height of two penguins = 169 centimeter
Therefore,
height of emperor penguin + height of galapagos penguin = 169
e + g = 169 ---- eqn 1
The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin
height of emperor penguin = 22 + 2(height of galapagos penguin)
e = 22 + 2g --- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
g = 169 - e ------- eqn 3
Substitute eqn 3 in eqn 2
e = 22 + 2(169 - e)
e = 22 + 338 - 2e
e + 2e = 360
3e = 360
<h3>e = 120</h3>
Thus from eqn 3,
g = 169 - 120
<h3>g = 49</h3>
Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
A^2 + b^2 = c^2
where a and b are the sides, and C is the hypotenuse (longest side)
basically
a + 13^2 = 16^2
so
a + 169 = 256
to find what A is, 256 - 169 = a = 87
but, because a is squared, you need the square root of 87 if it is a whole number, but it isn't-
Answer =
Answer:
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