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Pre-Calculus Homework Solutions 198

# Pre-Calculus Homework Solutions 198 - 2 Sample answer Draw...

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2. Sample answer: Draw a line using a ruler. Then use a protractor to measure a 90° angle. On one ray mark a 2 cm length, and at that endpoint use the protractor to measure a 30° angle toward the other ray. Where this ray intersects the other ray should form a 60° angle, completing the 30°-60°- 90° triangle with sides 2 cm, 2 3cm, and a hypotenuse of 4 cm. 3. The diagonal is twice as long as its width w , so the diagonal forms a 30°-60°-90° triangle with the length and the width w . Then the length of the rectangle is 3 times the width, or 3 w . 4. The triangle is a 45°-45°-90° triangle. The legs are congruent, so x 3. The length of the hypotenuse is 2 times the length of the leg, so y 3 2. 5. The triangle is a 45°-45°-90° triangle. The legs are congruent, so x y . The length of the hypotenuse is 2 times the length of the leg. 10 ¬ x 2 10 2 ¬ x 10 2 2 2 ¬ x 10 2 2 ¬ x 5 2 ¬ x So, x 5 2 and y 5 2. 6. The triangle is a 30°-60°-90° triangle. y is the measure of the hypotenuse and x is the measure of the longer leg.
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