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3 years ago

Find the missing right triangle side lengths in the models of the Pythagorean Theorem below

Mathematics

2 answers:

Sladkaya [172]3 years ago

8 0

Answer:

The picture on the left doesn’t have a right triangle.

maw [93]3 years ago

5 0

Answer: 24, 10, 26 and 4.6, 5, 6.7

Step-by-step explanation: for the first triangle the square with the area 576 has side lengths of 24 because 24 is the square root of 576, the square with the area 676 has a side length of 26 because 26 is the square root of 576, and we already know the side lengths of the third triangle are 10 for the second triange we know the side length of the square with the area 21 is about 4.6 because √21 ≈ 4.6 and the square with the area 25 the side length is 5 because √25 = 5 and the last square the side length is 6.7 because √46 ≈ 6.7

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3 years ago

The string of a kite is 120 metres long and it makes an angle of 60 degree

Afina-wow [57]

Answer:

103.92 m

Step-by-step explanation:

The kite is making right angle with the ground and its string is acting as hypotenuse of right triangle.

Let the height of the kite from the ground be h meters.

Therefore, by trigonometrical ratio:

$\sin \theta \: = \frac{height \: of \: the \: kite}{length \: of \: the \: string} \\ \\ \sin 60 \degree \: = \frac{h}{120} \\ \\ \frac{ \sqrt{3} }{2} = \frac{h}{120} \\ \\ h = \frac{ \sqrt{3} }{2} \times 120 \\ \\ h = \sqrt{3} \times 60 \\ \\ h = 1.732 \times 60 \\ \\ h = 103.92 \: m \\$

Thus, the height of the kite from the ground is 103.92 meters.

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