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Solving Right Triangles Ms. Batten 8th Grade 1st & 2nd Period Santana Batten CSC 4050

Stander Course of Study COMPETENCY GOAL 3: The learner will understand and use properties and relationships in geometry. 3.02     Apply geometric properties and relationships, including the Pythagorean theorem, to solve problems.

Table of Contents What Makes a Right Triangle Pythagorean Theorem Special Triangles

What Makes a Right Triangle When two lines intersect at perpendicular they create a right angle. In a right triangle, one angle measure 90o and the sums of the other two angles equals 900. The sum of the angles in any triangle have to equal 180o If you see a square at the vertex of two lines that help form a triangle then the triangle is a right triangle. Helpful Hint!!!

Pythagorean Theorem a b c a = Leg b = Leg c = Hypotenuse a2 + b2 = c2

Word Wall Right Angle- Angle the measure 90 degrees Vertex - typically means a corner or a point where lines meet Triangle- a polygon with three corners or vertices and three sides or edges which are line segments Perpendicular- two lines that intersect at 90o

Special Right Triangles 30, 60, 90 45, 45, 90 When solving special right triangles, apply the formulas to get the solutions? NEED Examples

Practice Practice Practice How far up a wall will an 11m ladder reach, if the foot of the ladder must be 4m from the base of the wall? Formula: a2 + b2 = c2 c2 = a2 + b2 112 = 42 + x2 121 = 16 + x2 121 - 16 = x2 105 = x2 √105 = x The ladder will reach √105 meters up the wall.

Practice Practice!! Given a = 3 and b = 5 what is c? 3 5 C a2 + b2 = c 32 + 42 = c 9 + 16 = 25 √25 = 5 Students be sure to rewrite the problem each time you solve for a variable. This will cut back on the number of careless mistakes. a2 + b2 = c 72 + 242 = c 49 + 576 = 625 √625 = 25 c = 25 7 24 c Given a = 7 and b = 24, find c?

Perfect Practice Makes Permanent On-Line Practice Solve the right triangle ABC if angle A is 60°, and side c is 10 cm. 45, 45, 90

One-line Assistance http://vimeo.com/19226366

Page 45 # 1-12 All 25-37 Even Extra Credit: Go online and find an article about Pythagorean Theorem. You must be able to tell me how the name cam about.