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ruslelena [56]
1 year ago
5

What are the missing sides in the triangle written as integers or as decimals rounded to the

Mathematics
1 answer:
Alecsey [184]1 year ago
5 0

The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9

<h3>Trigonometry </h3>

From the question, we are to determine the values of the missing sides

From the diagram,

Opposite = 9

Adjacent = y

Hypotenuse = x

Included angle = 45°

Using SOH CAH TOA, we can write that

tan 45^\circ= \frac{9}{y}

1 = \frac{9}{y}

∴ y = 9

Since the triangle is a right triangle, we can write that

x² = y² + 9² (<em>Pythagorean theorem</em>)

x² = 9² + 9²

x² = 81 + 81

x² = 162

x = √162

x = 12.7

Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9

Learn more on Trigonometry here: brainly.com/question/24259483

#SPJ1

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