That is called square root
Answer:
Step-by-step explanation:
Pythagoras theorem - The length of the third side is 6.71unit
What is Pythagoras theorem ?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The Pythagoras theorem's equation is as follows:
H² = P² + B²
The triangle's third side will be the following length:
Let x represent the triangle's third side's length.
9² = 6² + x²
81 = 36 + x²
x² = 45
x = 6.708
x = 6.71 units
Hence, the third side of the triangle is 6.71unit
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Answer:
60
Step-by-step explanation:
area of triangle ACF is (1/2) (AC) (CF) = 180
area of triangle BCE = (1/2) (BC) (CE)
BC = AC/2
CE=(2/3) CF
so (1/2) (BC) (CE) = (1/2) (AC/2) (2/3)CF = (1/2)(2/3)(180) = 60 sq cm
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