Juan is going to Nene’s house to do a school project. Instead of walking 2 perpendicular streets to his classmate’s house, Juan will cut a diagonal path through the city plaza. Juan is 13m away from Nene’s street. The distance from the intersection of the 2 streets to Nene’s house is 8m.
Answer the ff. questions:
A. How would you illustrate the problem?
B. How far will Juan travel along the shortcut?
C. How many meters will he save by taking the shortcut rather than walking along the sidewalks
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Answers

2015-01-25T22:10:49+08:00

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B. 
The shortcut is the hypotenuse of the triangle, which is the straight line from Nene to Juan. To find its length, use Pythagorean theorem: a^2 + b^2 = c^2 , where the hypotenuse, and A and are the legs of the triangle.

c^2 = a^2 + b^2 c^2 = 13^2 + 8^2 c^2 = 233 c = \sqrt{233} = \boxed{15.26 m}


C.
Distance without shortcut: 21 m
Distance with shortcut: 15.26 m
Distance saved: Without - with = 21 - 15.26 = 5.74m

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D. If one of the distances increases/decreases, what might happen to the distance of the shortcut? Justify your answer.
E. What mathematical concepts did you see?
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