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8-2 Day 2 Special Right Triangles 2011.pdf

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8­2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 20118-2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong>30Objective:Use properties of 30-60-90 trianglesto find missing side lengths.90600Feb 24­1:51 PM1


8­2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 2011Simplify:Check Skills You'll Need1. (2√2)(3√2)= 2. 4√3(√3)=3. Find the value of h.1445h45Feb 24­1:57 PM2


8­2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 20118-2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong>30Objective:Use properties of 30-60-90 trianglesto find missing side lengths.9060Feb 24­1:51 PM3


8­2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 2011Draw an equilateral triangle with sides length 2Draw the altitudeWhat are the angles?222Feb 24­2:04 PM4


8­2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 2011Use the Pythagorean Theorem to findthe lengths of the missing side.30x260Feb 24­2:04 PM5


8­2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 2011So why do we care?In a 30-60-90 triangle the...30hypotenuse = short leg x 2long leg = short leg x √3s√32sIn other words, the sides in a 30-60-90triangle have a ratio of 1:2:√390s60Feb 24­2:04 PM6


8­2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 2011Find the lengths of the missing sides.hypotenuse = short leg x 2long leg = short leg x √3Feb 24­2:17 PM7


www.saabgroup.comGripen International,SE-581 88 Linköping, SwedenTelephone: +46 13 18 40 00Fax: +46 13 18 00 55www.gripen.com


8­2 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 2011Jan 30­2:32 PM9

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