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Altitude Lines and Areas of Triangles

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7. Finding Area <strong>of</strong> <strong>Triangles</strong> using <strong>Altitude</strong>.notebook<br />

March 19, 2014<br />

<strong>Altitude</strong> <strong>Lines</strong> <strong>and</strong> <strong>Areas</strong> <strong>of</strong> <strong>Triangles</strong><br />

D<br />

Steps for finding the length <strong>of</strong> an altitude CD:<br />

a) Need to find the equation <strong>of</strong> the line CD<br />

­ find the slope <strong>of</strong> AB, determine its negative reciprocal<br />

then use the negative reciprocal slope along with point C<br />

to find the equation <strong>of</strong> CD<br />

b<br />

Find the equation AB.<br />

c) Find the poi <strong>of</strong> CD <strong>and</strong> AB ­ this will give us point D<br />

d) Use the distance formula <strong>and</strong> points C <strong>and</strong> D to find the length <strong>of</strong><br />

CD<br />

1


7. Finding Area <strong>of</strong> <strong>Triangles</strong> using <strong>Altitude</strong>.notebook<br />

March 19, 2014<br />

A triangle has vertices J(-2, 0), K(4, -3) <strong>and</strong> L(8, 8)<br />

a) Find an equation for the altitude from vertex L to side JK<br />

b) Find the length <strong>of</strong> the altitude.<br />

c) Find the area <strong>of</strong> triangle JKL.<br />

The slope <strong>of</strong> the altitude from L is the negative<br />

reciprocal <strong>of</strong> the slope <strong>of</strong> JK since they are<br />

perpendicular<br />

L(8, 8)<br />

J(-2, 0)<br />

K(4, -3)<br />

2


7. Finding Area <strong>of</strong> <strong>Triangles</strong> using <strong>Altitude</strong>.notebook<br />

March 19, 2014<br />

Mar 19­1:43 PM<br />

3


7. Finding Area <strong>of</strong> <strong>Triangles</strong> using <strong>Altitude</strong>.notebook<br />

March 19, 2014<br />

Text: pg 120 #1 ­ 5,8<br />

Oct 8­12:30 PM<br />

4

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