8-2 Day 2 Special Right Triangles 2011.pdf
8-2 Day 2 Special Right Triangles 2011.pdf
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
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82 <strong>Day</strong> 2 <strong>Special</strong> <strong>Right</strong> <strong>Triangles</strong> 2011January 31, 2011Jan 302:32 PM9