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frosja888 [35]
3 years ago
15

The roads that connect three buildings form a right triangle. Use the image to find the distance between the library and the mus

eum.

Mathematics
2 answers:
Marrrta [24]3 years ago
6 0
Knowing a² + b² = c²

a = 300 yards
b = ?
c = 500 yards

so plugging into the equation gives 300² + b² = 500², solving for b 
b² = 500² - 300² 
b = √(160000 = 400 yards
elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

The distance between library and museum is 400 yards.

Step-by-step explanation:

Let L represents the position of library, R represents the restaurant and M represents the museum,

Since, By the given diagram,

∠MLR = 90°,

LR = 300 yd,

RM = 500 yd,

So, by the Pythagoras theorem,

RM^2=LR^2+ML^2

\implies ML^2=RM^2-LR^2

\implies ML=\sqrt{RM^2-LR^2}

By substituting the values,

ML = \sqrt{500^2-300^2}

=\sqrt{250000-90000}

=\sqrt{160000}

=400

Hence, the distance between library and museum is 400 yards.

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