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Pythagorean Theorem

Real world problems

Question:

Find the height of a tree if there is a ladder leaning against it that is 10 feet tall and it is 5 feet away from the base of the tree.



Answer:

9 Feet




Question: What is the length of a skateboarding ramp if it is 12 feet long and 2 feet off the ground?
Answer:

12 Feet




Question:

How far is the ladder from the base of a building if the building is 20 feet high and the ladder is 30 feet long?


Answer:

22 Feet



Question: A tree is 18 feet tall and casts a shadow that is 22 feet long. How far is it from the end of the shadow to the top of the tree?
Answer:                                                  C=27

Question: The beach is 14miles north of your house. The park is b miles wesr of your house. When you are at the park, you are 16 miles from the beach. How far is the park from your house?
Answer:                               C=7.7 miles

Does it make a right triangle?

Question: Do these measure make a right triangle? 3,4,5 
Answer:                                                      Yes
                                                    25=25


Question: Do these side lengths make a right triangle? 7,8,9
Answer:                                                      No 
                                113>81 this makes an acute triangle 


Question: Do these side lengths make a right triangle? 10,12,16
Answer:                                                     No 
                             244<256 this makes an acute triangle 


Question: Do these side lengths make a right triangle? 15,20,25
Answer:                                                       yes 
                                                 625=625


Question: Do these side lengths make a right triangle? 10,24,26
Answer:                                                         yes
                                                    676=676


Find the hypotenuse using pythagreom theorem

Question: Find the hypotenuse with A=5 and B=12 C=?
Answer:                                                       C=13

Question: what is the hypotenuse with the side lengths of A=7 and B=24 C=?
Answer:                                                      C=25

Question: What is the hypotenuse with side lengths of A=15 and B=36 C=?
Answer:                                                        C=39

Question: What is the hypotenuse with side lengths of A=25 and B=35 C=?
Answer:                                                      C=43

Question: What is the hypotenuse with side lengths of A=119 and B=139 C=?
Answer:                                                      C=183

Find the missing side length

Question: What is the side length with A=9 and C=15 B=?
Answer:                                                     B=12

Question: What is the side length with A=8 and C=10 B=?
Answer:                                                      B=6

Question: What is the side length with B=8 and C=17 A=?
Answer:                                                      A=15

Question: What is the side length with B=120 and C=141 A=?
Answer:                                                       A=74

Question: What is the side length with B=146 C=166 A=?
Answer:                                                       A=79

Find the distance between two points

Question:

Find the distance between the point (-2,1) and (3,-2)



Answer:

6





Question:

Find the distance between (-1,0) and (5,0)





Answer:

6



Question:

Find the distance between (5,3) and (-4,-3)






Answer:

11





Question:

Find the distance between (10,11) and (-1,1)





Answer:

15





Question:

Find the distance between (3,-4) and (3,10)





Answer:

14