LH4a
Practice - 3 4 5 Right Triangles
TRY TO ANSWER IN TWO AND A HALF MINUTES.
QUESTIONS
QUESTIONS
1. You lean a 10-foot ladder against a wall. The bottom is six feet from the base of the wall. How far up the wall is the top of the ladder?
2. You build a rectangular frame of lumber, 12 feet by 9 feet. You want to cut a diagonal brace for the frame. How long is the diagonal?
3. A tower casts an 11' shadow. The distance from the top of tower to the tip of the shadow is 61'. How tall is the tower?
ANSWERS
1. This is a doubled 3-4-5 right triangle. If the ladder is 10 feet and the leg on the floor is 6 feet, then the other leg is 8 feet (4 x 2). Or, using the Pythagorean Theorem, the (length of the ladder)² equals the (distance from the wall)² plus the (heighth of the top)². So 10²= 6² plus x². x² = 100 minus 36 = 64 feet. x = √(64), or eight feet.
2. The two sides are three times of 3 and 4. Therefore the long side, the diagonal, is 3 times 5, or 15.
3. This is not a 3-4-5 right triangle. You get the answer by applying the Pythagorean Theorem, here.
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