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# Special Right Triangles 1

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### Special Right Triangles 1

1. 1. SPECIAL RIGHT TRIANGLES<br />
2. 2. 45o-45o-90o Triangle Theorem<br />In a 45o-45o-90o triangle, both legs are congruent and the length of the hypotenuse is<br /> times the length of a leg.<br /> hypotenuse = x leg<br /> pg 262 <br />45o<br />s<br />s<br />45o<br />s<br />
3. 3. Find the value of x.<br />a. b.<br /> c.<br />45o<br />9<br />x<br />45o<br />45o<br />45o<br />x<br />45o<br />x<br />45o<br />
4. 4. Relating to the Real World - Baseball<br />A baseball diamond is a square. The distance from base to base is 90ft. To the nearest foot, how far does the second baseman throw a ball to home plate?<br />
5. 5. pg 263 <br />30o-60o-90o Triangle Theorem<br />In a 30o-60o-90o triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is times the length of the shorter leg. <br /> hypotenuse = 2 x shorter leg<br /> hypotenuse = x shorter leg<br />30o<br />2s<br />s<br />60o<br />s<br />
6. 6. Find the value of x and y.<br />1. 2.<br />3. 4.<br />x<br />x<br />4<br />30o<br />60o<br />y<br />y<br />y<br />x<br />y<br />x<br />60o<br />30o<br />60o<br />12<br />
7. 7. Altitude Theorem<br />The altitude of an equilateral triangle is times the length of its side.<br /> pg 264 <br />s<br />s<br />s<br />s<br />
8. 8. For an isosceles right triangle or 45o-45o-90o triangle, <br /> pg 264 <br />the lengths of the legs are equal.<br />the length of the hypotenuse is times the length of a leg.<br />45o<br />s<br />s<br />45o<br />s<br />
9. 9. For a 30o-60o-90o triangle, <br />the length of the hypotenuse is twice the length of the side opposite the 30o angle.<br />the length of the side opposite the 60o angle is<br /> times the length of the side opposite the 30o angle. <br />30o<br />2s<br />s<br />60o<br />s<br />