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1. The roof of Mr. Thompson's house is BLANK feet high. To climb on top of his house, he leans a 13-foot ladder against the roof of the house and places the base of the ladder 5 feet from the house.
a.12

b.15

c.16
2. There is a rope running from the top of a flagpole to a hook in the ground. The flagpole is 9 meters high, the hook is 12 meters from its base, and the rope is BLANK meters long.

a.12

b.15

c.16

3. Two boats leave a dock. One heads north, and the other heads east. One hour later the two boats are 20 miles apart. The northbound boat traveled BLANK miles and the eastbound boat traveled 12 miles.

a.12

b.15

c.16

 Mar 27, 2019
 #1
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[1.] A

[2.] B (This is assumming the rope is tight and is held with no slack)

[3.] C

 

Use the formula: a^2+b^2=c^2

 

A and B represent the sides of a triangle, and C, the hypotenuse.

 Mar 27, 2019
edited by Guest  Mar 27, 2019
 #2
avatar+4330 
+2

1. You can easily see a 5-12-13 Pythagorean triplet...so the answer is 12 !

 

2. Again, a 9-12-15 Pythagorean Triplet, and the answer is 15.

 

3. Pythagorean Triplet, 12-16-20, so (C), 16.

 Mar 27, 2019

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