2.Sample answer: Draw a line using a ruler. Thenuse a protractor to measure a 90° angle. On oneray mark a 2 cm length, and at that endpoint usethe protractor to measure a 30° angle toward theother ray. Where this ray intersects the other rayshould form a 60° angle, completing the 30°-60°-90° triangle with sides 2 cm, 23cm, and ahypotenuse of 4 cm.3.The diagonal is twice as long as its width w, sothe diagonal forms a 30°-60°-90° triangle with thelength and the width w. Then the length of therectangle is 3 times the width, or 3w.4.The triangle is a 45°-45°-90° triangle. The legs arecongruent, so x3. The length of the hypotenuseis 2 times the length of the leg, so y32.5.The triangle is a 45°-45°-90° triangle. The legs arecongruent, so xy. The length of the hypotenuse is 2 times the length of the leg.10¬x2102¬x10222¬x1022¬x52¬xSo,x52 and y52.6.The triangle is a 30°-60°-90° triangle.yis themeasure of the hypotenuse and xis the measureof the longer leg.
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