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KiRa [710]
3 years ago
7

The hypotenuse of a 45°-45°-90° triangle measures 18 cm. A right triangle is shown. The other 2 angle measures are 45 degrees. T

he length of the hypotenuse is 18 centimeters. What is the length of one leg of the triangle? 9 cm 9 StartRoot 2 EndRoot cm 18 cm
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

9 \sqrt{2}\ cm

Step-by-step explanation:

Given

Hypotenus = 18cm

Required

Find the length of the other two sides

From the question, we understand that the other two sides are equal; let's represent them with x.

Pythagoras theorrem states that:

Hypotenuse^2 = x^2 + x^2

Substitute 18 for Hypotenuse

18^2 = x^2 + x^2

18^2 = 2x^2

18 * 18 = 2x^2

324 = 2x^2

Divide both sides by 2

\frac{324}{2} = \frac{2x^2}{2}

162 = x^2

Take root of both sides

\sqrt{162}  = \sqrt{x^2}

\sqrt{162}  = x

x = \sqrt{162}

x = \sqrt{81 * 2}

Split the above

x = \sqrt{81} *\sqrt{2}

x = 9 *\sqrt{2}

x = 9 \sqrt{2}

Hence, the length of one leg is 9 \sqrt{2}\ cm

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Since it's a right triangle, we know that we can use SOHCAHTOA for this.

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Free_Kalibri [48]
\frac{3}{4} t 
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\frac{3}{4} (12)
Now lets solve the equation;

\frac{3}{4} (12) =  \frac{3}{4} *  \frac{12}{1}
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vladimir1956 [14]

Answer:

1. equation: y = 7x, missing = 35

2. equation: y = x - 5, missing = 1

3. equation: y = 1/2x, missing = 2

4. equation: y = x + 4, missing = 15

Step-by-step explanation:

Equation Format: y = mx + b

<h2>1.</h2>

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Solve for the missing y:

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