Name ____________________ Time: ________ Date ___ / ___ / ___ Score ________ TriangleRight (Number Dojo Level 253) High School Worksheet Set E Instructions: Give yourself 5 minutes to complete as many problems as you can. Score this worksheet like a Number Sense test, giving yourself 5 points for every correct answer, less 4 points for every skipped or incorrect answer. High score is a 200. RT stands for right triangle. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) A right angle measures _______° The hypotenuse of a RT with legs 9 & 12 is ___ The area of a RT with one leg 3 & hypotenuse 5 is _ Hypotenuse of RT with integer sides & shortest leg 5 is _ RT has hypotenuse 25 & one leg of 15; the other leg is _ The hypotenuse of a RT with legs 10 & 24 is __ The hypotenuse of a RT with legs 16 & 12 is __ The area of a RT with integer sides & shortest leg 5 is __ If the hypotenuse of an isosceles RT is 6, the area is ___ The short leg of 30-60-90 triangle is √3. The long leg is _ The area of a RT with sides 5, 12, & 13 is __ The area of a RT with hypotenuse 25 & one leg 24 is __ Perimeter of a RT with integer sides & shortest leg 5 is _ RT has hypotenuse 26 & one leg of 24; the other leg is _ The perimeter of a RT with legs 7 & 24 is ____ The area of a RT with base 18 & height 44 is __ RT has hypotenuse 41 & one leg of 40; the other leg is _ The missing leg of a RT with hypot. 17 & one leg 15 is __ The perimeter of a RT with legs 5 & 12 is ____ RT has hypotenuse 26 & one leg of 10; the other leg is _ __ Legs of a RT are 6 & 8. The altitude to the hypot. is ___ Smallest leg of a RT is 9; hypotenuse is 41. Perimeter is _ The leg opposite the 30° in a RT is 2.5. The hypot. is _ One leg of a 45°-45° RT is 2√2. The hypotenuse is _ Longer leg of a 30°-60° RT is 3√3; the shorter leg is _ Leg opposite the 60° in a RT is 12√3. The hypot. is __ The perimeter of a RT with base 7 & hypotenuse 25 is __ The area of a RT with base 40 & hypotenuse 41 is _ Legs of a RT are 9 & 40. The altitude to the hypot. is ___ Sides of a RT are integers. One leg is 7; the other leg is _ A 30°-60° RT has hypotenuse 6. The short leg is __ The legs of a RT are 3 & 4. The altitude to the hypot. is _ The leg opposite the 30° in a RT is 4. Hypotenuse is __ Area of an isosceles RT with hypotenuse 5√2 is ___ In a 45°-45° RT, one leg is 5. The other leg is ____ Hypot. of 30°-60° RT is 10; the leg opposite the 30° is _ The leg opposite the 45° is 3√2; the hypotenuse is __ Area of a RT with leg 8 & hypotenuse 17 is ___ Area of an isosceles RT with hypotenuse 12√2 is __ 21) A RT with a short leg of 13 has a hypotenuse of 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) - - - - - - - - - - - - - - - Fold the bottom portion under - - - - - - - - - - - - - - Answer Key 1) 2) 3) 4) 5) 6) 7) 8) 90 15 6 13 20 26 20 30 9) 10) 11) 12) 13) 14) 15) 16) 9 3 30 84 30 10 56 396 17) 18) 19) 20) 21) 22) 23) 24) 9 8 30 24 85 4.8 90 5 25) 26) 27) 28) 29) 30) 31) 32) 4 3 24 56 180 360/41 24 3 © 2016 by Number Dojo, www.NumberDojo.com 33) 34) 35) 36) 37) 38) 39) 40) 12/5 or 2.4 8 12.5 or 12 ½ 5 5 6 60 72
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