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3 years ago

ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC

Mathematics

1 answer:

il63 [147K]3 years ago

7 0

All sides are equal in an equilateral triangle and the perpendicular bisects the side too.

so BC will be bisected and the segments be 5 each.

you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.

$5^2+h^2=10^2$

$h^2=100-25=75$

$h=\sqrt{75}=5\sqrt3$

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When a shape is rotated, it must be rotated around a point.

To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by $90^o$ .

From the question, we have:

$C = (5,-1)$ --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

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The rule of $90^o$ rotation is:

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So, we have:

$(x - 5,y + 1) \to (-y - 1,x - 5)$

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

$(0,2) \to (-2-1,0-5) \to (-3,-5)$

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Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)

Read more about rotations at:

brainly.com/question/1571997

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ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC​

ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC