EXERCISES:
Complete the statement below relating the vertical leg
(length a) and horizontal leg (length b) to the hypotenuse (length c) of
a right triangle .
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THIS IS THE PYTHAGOREAN THEOREM |
Using the Pythagorean Theorem, figure out the missing values for x and h:
How much farther is it to jog around the perimeter of
the field to get from X to Y rather than jogging a straight line across
the field from X to Y?
What is the length of the longest pole that could be laid flat in this box?
What is the length of the longest pole that could fit in the box if it is not to be laid flat?
Use the Pythagorean relationship to see if the triangle
with these sides is a right triangle.
Pythagorean triples are three numbers that satisfy the Pythagorean relationship. For example 3,4,5 is a Pythagorean triple because 3² + 4² = 5². Which of the following are Pythagorean triples?
a) 6,8,10
b) 6,10,12
c) 9,12,15
d) 5,8,10
e) 12,16,20
Answer the following questions.
a) A 9m post stood up so that it meets the ground at right angles. A wire is strung from the top of the post to a peg on the ground 7m from the base of the post. How long must the wire be? (To 1 decimal accuracy)
b) A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach?
c) If it takes 10 steps to go from A to B, and 9 steps from B to C. How many steps could you save by walking directly from A to C?
d) To find the length of a lake, a surveyor places flags at both ends of a lake. She then walks to a point C such that <ABC is 90°. She measures the distance from A to C and finds it to be 112m, and the distance from B to C to be 91m. Find the length of the lake.
Source - http://www.neufeldmath.com/worksheets/html/ex6wk2.html