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Warm-up. D. A. 30°. 30°. C. B. 90 feet. A person is standing at point A cheering on his favorite team. Round to nearest tenth. Find the height CD of the bleachers. Find the height of the fan at Point A from the ground. Find the distance AB that the fan is from the field at B.
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Warm-up D A 30° 30° C B 90 feet. • A person is standing at point A cheering on his favorite team. Round to nearest tenth. • Find the height CD of the bleachers. • Find the height of the fan at Point A from the ground. • Find the distance AB that the fan is from the field at B. 52.0 feet 39.0 feet 77.9 feet
Math II UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: How do we solve 45°-45°-90° right triangles? Standard: MM2G1.b
5.1 Special Right Triangles Learning Task – Part 2
5.1 Special Right Triangles You will be able to find the lengths of sides of special right triangles 30-60-90 And 45-45-90
Special Right Triangles Leg:Leg:Hypotenuse
We will use a reference triangle to set up a proportion then solve. In a 45-45-90 triangle… LEGS ARE THE SAME LENGTH
45-45-90 Right Triangle 1 1 This is our reference triangle for the 45-45-90.
EX: 1 Solve for x a√2 x a 3 a 3
EX: 2 Solve for x x a√2 a 5 a 5
EX: 3 Solve for x 45 3 a√2 a x a
Extension Problem The diagonal of a square is 12 inches. Find the area. Round to the nearest tenth. 12 in. Area = 72 in.2
Homework Page 153 #1-9, 23-24