Question

Determine the unknown side lengths.

X= ?

Y= ?

Answer 1

Answer:

x = 12

y = 16.97 or 17

Step-by-step explanation:

$\sin \: 45 \degree = \frac{12}{y} \\ \\ \frac{1}{ \sqrt{2} } = \frac{12}{y} \\ \\ y = 12 \sqrt{2} \\ \\ y = 12 \times 1.414 \\ \\ y = 16.968 \\ \\ y \approx \: 16.97\approx \: 17 \: \\ \\ \\ \tan \: 45 \degree = \frac{12}{x} \\ \\ 1 = \frac{12}{x} \\ \\ x = 12$

Answer 2

The unknown side lengths are 12 and  17.

The given right triangle has one side is 12 m and one angle is 45°.

To find the unknown side lengths.

What is trigonometry?

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

The given triangle

sin45°=12/y

1/$\sqrt{2}$ =12/y

y≈16.97≈17 m

tan45°=12/x

1=12/x

x=12 m

So ,the unknown side lengths are 12 and  17.

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