3 years ago

The angle of the roof on Wendy’s dollhouse is 56°. She built a scale model of the dollhouse with a scale

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

Angular values don't change as the scale increases/decreases

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Step-by-step explanation:

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Step-by-step explanation:

We are asked to find the altitude of the equilateral triangle whose perimeter is 18 . Firstly let us find the side of the∆.

$\rm \implies a + a + a = 18 \\\\\rm\implies 3a = 18 \\\\\rm\implies a = 6$

Now we know that in a equilateral triangle , the altitude of the triangle with side length a is ,

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$\rm\implies Altitude =\dfrac{\sqrt 3}{2} a \\\\\rm\implies Altitude =\dfrac{ \sqrt3}{2}\times 6 \\\\\rm\implies Altitude = \sqrt3 \times 3 \\\\\rm\implies\boxed{ \bf Altitude = 3\sqrt3 \ units }$

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The answer is in the attachment.

Step-by-step explanation:

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